72797436100 has 27 divisors (see below), whose sum is σ = 157976291431. Its totient is φ = 29117895200.

The previous prime is 72797436079. The next prime is 72797436167. The reversal of 72797436100 is 163479727.

The square root of 72797436100 is 269810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22528208836 + 50269227264 = 150094^2 + 224208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2684610 + ... + 2711590.

Almost surely, 2^72797436100 is an apocalyptic number.

72797436100 is the 269810-th square number.

It is an amenable number.

72797436100 is an abundant number, since it is smaller than the sum of its proper divisors (85178855331).

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

72797436100 is an frugal number, since it uses more digits than its factorization.

72797436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53976 (or 26988 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 72797436100 in words is "seventy-two billion, seven hundred ninety-seven million, four hundred thirty-six thousand, one hundred".