100072472 has 64 divisors (see below), whose sum is σ = 206569440. Its totient is φ = 45260800.

The previous prime is 100072463. The next prime is 100072493. The reversal of 100072472 is 274270001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730388 + ... + 730524.

Almost surely, 2^100072472 is an apocalyptic number.

It is an amenable number.

100072472 is an abundant number, since it is smaller than the sum of its proper divisors (106496968).

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

100072472 is a wasteful number, since it uses less digits than its factorization.

100072472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 100072472 is about 10003.6229437139. The cubic root of 100072472 is about 464.2709846936.

The spelling of 100072472 in words is "one hundred million, seventy-two thousand, four hundred seventy-two".