76721164 has 72 divisors (see below), whose sum is σ = 157417008. Its totient is φ = 32503680.

The previous prime is 76721147. The next prime is 76721173. The reversal of 76721164 is 46112767.

It is a happy number.

It is a super-2 number, since 2×76721164² = 11772274011029792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145059 + ... + 1145125.

Almost surely, 2^76721164 is an apocalyptic number.

It is an amenable number.

76721164 is an abundant number, since it is smaller than the sum of its proper divisors (80695844).

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

76721164 is a wasteful number, since it uses less digits than its factorization.

76721164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 76721164 is about 8759.0618219076. The cubic root of 76721164 is about 424.9179338660.

It can be divided in two parts, 7672 and 1164, that added together give a square (8836 = 94²).

The spelling of 76721164 in words is "seventy-six million, seven hundred twenty-one thousand, one hundred sixty-four".