72902736 has 30 divisors (see below), whose sum is σ = 204026810. Its totient is φ = 24300864.

The previous prime is 72902693. The next prime is 72902743. The reversal of 72902736 is 63720927.

It can be written as a sum of positive squares in only one way, i.e., 58614336 + 14288400 = 7656^2 + 3780^2 .

It is a super-3 number, since 3×72902736³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72902736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252991 + ... + 253278.

Almost surely, 2^72902736 is an apocalyptic number.

It is an amenable number.

72902736 is an abundant number, since it is smaller than the sum of its proper divisors (131124074).

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

72902736 is a wasteful number, since it uses less digits than its factorization.

72902736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506283 (or 506274 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72902736 is about 8538.3099030194. The cubic root of 72902736 is about 417.7482210450.

The spelling of 72902736 in words is "seventy-two million, nine hundred two thousand, seven hundred thirty-six".