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73122528 = 2532393187
BaseRepresentation
bin1000101101111…
…00001011100000
312002121000020210
410112330023200
5122204410103
611131134120
71545350133
oct426741340
9162530223
1073122528
1138304046
12205a4340
13121c2b8b
1499d621a
156645e03
hex45bc2e0

73122528 has 48 divisors (see below), whose sum is σ = 192810240. Its totient is φ = 24264576.

The previous prime is 73122523. The next prime is 73122551. The reversal of 73122528 is 82522137.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×731225282 = 10693808202221568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73122495 and 73122504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73122523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21351 + ... + 24537.

It is an arithmetic number, because the mean of its divisors is an integer number (4016880).

Almost surely, 273122528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73122528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96405120).

73122528 is an abundant number, since it is smaller than the sum of its proper divisors (119687712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73122528 is a wasteful number, since it uses less digits than its factorization.

73122528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3431 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 73122528 is about 8551.1711478604. The cubic root of 73122528 is about 418.1676181923.

The spelling of 73122528 in words is "seventy-three million, one hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3187 3824 5736 6374 7648 9561 11472 12748 19122 22944 25496 38244 50992 76488 101984 152976 305952 761693 1523386 2285079 3046772 4570158 6093544 9140316 12187088 18280632 24374176 36561264 73122528