72638120 has 32 divisors (see below), whose sum is σ = 163748520. Its totient is φ = 28999680.

The previous prime is 72638107. The next prime is 72638131. The reversal of 72638120 is 2183627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66945124 + 5692996 = 8182^2 + 2386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24224 + ... + 27056.

Almost surely, 2^72638120 is an apocalyptic number.

It is an amenable number.

72638120 is an abundant number, since it is smaller than the sum of its proper divisors (91110400).

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

72638120 is a wasteful number, since it uses less digits than its factorization.

72638120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72638120 is about 8522.8000093866. The cubic root of 72638120 is about 417.2421729139.

The spelling of 72638120 in words is "seventy-two million, six hundred thirty-eight thousand, one hundred twenty".