72764100 has 54 divisors (see below), whose sum is σ = 228077850. Its totient is φ = 19403520.

The previous prime is 72764047. The next prime is 72764101. The reversal of 72764100 is 146727.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 66292164 = 2544^2 + 8142^2 .

It is a super-2 number, since 2×72764100² = 10589228497620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72764101) 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 17 ways as a sum of consecutive naturals, for example, 39525 + ... + 41324.

Almost surely, 2^72764100 is an apocalyptic number.

It is an amenable number.

72764100 is an abundant number, since it is smaller than the sum of its proper divisors (155313750).

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

72764100 is a wasteful number, since it uses less digits than its factorization.

72764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80869 (or 80859 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72764100 is about 8530.1875712085. The cubic root of 72764100 is about 417.4832483986.

The spelling of 72764100 in words is "seventy-two million, seven hundred sixty-four thousand, one hundred".