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72376576 = 28299749
BaseRepresentation
bin1000101000001…
…10000100000000
312001012002222221
410110012010000
5122012022301
611103140424
71536122266
oct424060400
9161162887
1072376576
1137944658
12202a4714
1311cc149c
149880436
156549da1
hex4506100

72376576 has 36 divisors (see below), whose sum is σ = 149467500. Its totient is φ = 34936832.

The previous prime is 72376573. The next prime is 72376621. The reversal of 72376576 is 67567327.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 49336576 = 4800^2 + 7024^2 .

It is not an unprimeable number, because it can be changed into a prime (72376573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2550 + ... + 12298.

It is an arithmetic number, because the mean of its divisors is an integer number (4151875).

Almost surely, 272376576 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 72376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74733750).

72376576 is an abundant number, since it is smaller than the sum of its proper divisors (77090924).

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

72376576 is an equidigital number, since it uses as much as digits as its factorization.

72376576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9780 counting only the distinct ones).

The product of its digits is 370440, while the sum is 43.

The square root of 72376576 is about 8507.4423888734. The cubic root of 72376576 is about 416.7407905106.

Subtracting from 72376576 its reverse (67567327), we obtain a square (4809249 = 21932).

The spelling of 72376576 in words is "seventy-two million, three hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 9749 19498 38996 77992 155984 282721 311968 565442 623936 1130884 1247872 2261768 2495744 4523536 9047072 18094144 36188288 72376576