72761810 has 32 divisors (see below), whose sum is σ = 143467200. Its totient is φ = 26349760.

The previous prime is 72761791. The next prime is 72761813. The reversal of 72761810 is 1816727.

It is a super-2 number, since 2×72761810² = 10588561988952200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72761813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28361 + ... + 30819.

It is an arithmetic number, because the mean of its divisors is an integer number (4483350).

Almost surely, 2^72761810 is an apocalyptic number.

72761810 is a deficient number, since it is larger than the sum of its proper divisors (70705390).

72761810 is a wasteful number, since it uses less digits than its factorization.

72761810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 72761810 is about 8530.0533409821. The cubic root of 72761810 is about 417.4788687358.

The spelling of 72761810 in words is "seventy-two million, seven hundred sixty-one thousand, eight hundred ten".