72791810 has 64 divisors (see below), whose sum is σ = 165279744. Its totient is φ = 22464000.

The previous prime is 72791801. The next prime is 72791833. The reversal of 72791810 is 1819727.

72791810 = 70² + 71² + ... + 602².

It is a super-2 number, since 2×72791810² = 10597295206152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36335 + ... + 38285.

It is an arithmetic number, because the mean of its divisors is an integer number (2582496).

Almost surely, 2^72791810 is an apocalyptic number.

72791810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72791810 is an abundant number, since it is smaller than the sum of its proper divisors (92487934).

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

72791810 is a wasteful number, since it uses less digits than its factorization.

72791810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 72791810 is about 8531.8116481788. The cubic root of 72791810 is about 417.5362369494.

The spelling of 72791810 in words is "seventy-two million, seven hundred ninety-one thousand, eight hundred ten".