72996600 has 48 divisors (see below), whose sum is σ = 226291320. Its totient is φ = 19465600.

The previous prime is 72996587. The next prime is 72996601. The reversal of 72996600 is 669927.

It is a super-2 number, since 2×72996600² = 10657007223120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72996601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60231 + ... + 61430.

Almost surely, 2^72996600 is an apocalyptic number.

It is an amenable number.

72996600 is an abundant number, since it is smaller than the sum of its proper divisors (153294720).

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

72996600 is a wasteful number, since it uses less digits than its factorization.

72996600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121680 (or 121671 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 72996600 is about 8543.8047730505. The cubic root of 72996600 is about 417.9274310656.

The spelling of 72996600 in words is "seventy-two million, nine hundred ninety-six thousand, six hundred".