72996810 has 64 divisors (see below), whose sum is σ = 190076544. Its totient is φ = 17868800.

The previous prime is 72996797. The next prime is 72996811. The reversal of 72996810 is 1869927.

It is a super-2 number, since 2×72996810² = 10657068540352200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72996811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19165 + ... + 22655.

It is an arithmetic number, because the mean of its divisors is an integer number (2969946).

Almost surely, 2^72996810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72996810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95038272).

72996810 is an abundant number, since it is smaller than the sum of its proper divisors (117079734).

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

72996810 is a wasteful number, since it uses less digits than its factorization.

72996810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 72996810 is about 8543.8170626483. The cubic root of 72996810 is about 417.9278318362.

The spelling of 72996810 in words is "seventy-two million, nine hundred ninety-six thousand, eight hundred ten".