72538820 has 12 divisors (see below), whose sum is σ = 152331564. Its totient is φ = 29015520.

The previous prime is 72538787. The next prime is 72538901. The reversal of 72538820 is 2883527.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14077504 + 58461316 = 3752^2 + 7646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1813451 + ... + 1813490.

It is an arithmetic number, because the mean of its divisors is an integer number (12694297).

Almost surely, 2^72538820 is an apocalyptic number.

It is an amenable number.

72538820 is an abundant number, since it is smaller than the sum of its proper divisors (79792744).

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

72538820 is a wasteful number, since it uses less digits than its factorization.

72538820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626950 (or 3626948 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 72538820 is about 8516.9724667865. The cubic root of 72538820 is about 417.0519557935.

The spelling of 72538820 in words is "seventy-two million, five hundred thirty-eight thousand, eight hundred twenty".