72805810 has 64 divisors (see below), whose sum is σ = 170532864. Its totient is φ = 21700800.

The previous prime is 72805807. The next prime is 72805819. The reversal of 72805810 is 1850827.

It is a super-2 number, since 2×72805810² = 10601371939512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72805819) 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, 15655 + ... + 19765.

It is an arithmetic number, because the mean of its divisors is an integer number (2664576).

Almost surely, 2^72805810 is an apocalyptic number.

72805810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72805810 is an abundant number, since it is smaller than the sum of its proper divisors (97727054).

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

72805810 is a wasteful number, since it uses less digits than its factorization.

72805810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159.

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 72805810 is about 8532.6320675393. The cubic root of 72805810 is about 417.5630033883.

The spelling of 72805810 in words is "seventy-two million, eight hundred five thousand, eight hundred ten".