72635640100 has 27 divisors (see below), whose sum is σ = 157625187601. Its totient is φ = 29053178000.

The previous prime is 72635640089. The next prime is 72635640169. The reversal of 72635640100 is 104653627.

It is a happy number.

The square root of 72635640100 is 269510.

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

It can be written as a sum of positive squares in only one way, i.e., 26148830436 + 46486809664 = 161706^2 + 215608^2 .

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, 2681625 + ... + 2708575.

Almost surely, 2^72635640100 is an apocalyptic number.

72635640100 is the 269510-th square number.

It is an amenable number.

72635640100 is an abundant number, since it is smaller than the sum of its proper divisors (84989547501).

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

72635640100 is an frugal number, since it uses more digits than its factorization.

72635640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53916 (or 26958 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 72635640100 in words is "seventy-two billion, six hundred thirty-five million, six hundred forty thousand, one hundred".