72644100 has 36 divisors (see below), whose sum is σ = 210184464. Its totient is φ = 19371680.

The previous prime is 72644083. The next prime is 72644123. The reversal of 72644100 is 144627.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120774 + ... + 121373.

Almost surely, 2^72644100 is an apocalyptic number.

It is an amenable number.

72644100 is an abundant number, since it is smaller than the sum of its proper divisors (137540364).

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

72644100 is a wasteful number, since it uses less digits than its factorization.

72644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242164 (or 242157 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72644100 is about 8523.1508258390. The cubic root of 72644100 is about 417.2536225482.

Adding to 72644100 its reverse (144627), we get a palindrome (72788727).

The spelling of 72644100 in words is "seventy-two million, six hundred forty-four thousand, one hundred".