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72996340 = 22513726641
BaseRepresentation
bin1000101100111…
…01010111110100
312002100121011011
410112131113310
5122141340330
611124322004
71544313214
oct426352764
9162317134
1072996340
113822825a
1220543304
131217a601
1499a2244
15661d82a
hex459d5f4

72996340 has 24 divisors (see below), whose sum is σ = 154417032. Its totient is φ = 28984320.

The previous prime is 72996323. The next prime is 72996349. The reversal of 72996340 is 4369927.

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 72284004 = 844^2 + 8502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72996293 and 72996302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72996349) 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, 10581 + ... + 16060.

It is an arithmetic number, because the mean of its divisors is an integer number (6434043).

Almost surely, 272996340 is an apocalyptic number.

It is an amenable number.

72996340 is an abundant number, since it is smaller than the sum of its proper divisors (81420692).

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

72996340 is a wasteful number, since it uses less digits than its factorization.

72996340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26787 (or 26785 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 72996340 is about 8543.7895573334. The cubic root of 72996340 is about 417.9269348723.

The spelling of 72996340 in words is "seventy-two million, nine hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 26641 53282 106564 133205 266410 532820 3649817 7299634 14599268 18249085 36498170 72996340