72124920 has 96 divisors (see below), whose sum is σ = 267901920. Its totient is φ = 16485120.

The previous prime is 72124901. The next prime is 72124939. The reversal of 72124920 is 2942127.

It is an interprime number because it is at equal distance from previous prime (72124901) and next prime (72124939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11791 + ... + 16830.

It is an arithmetic number, because the mean of its divisors is an integer number (2790645).

Almost surely, 2^72124920 is an apocalyptic number.

72124920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72124920 is an abundant number, since it is smaller than the sum of its proper divisors (195777000).

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

72124920 is a wasteful number, since it uses less digits than its factorization.

72124920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28645 (or 28638 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72124920 is about 8492.6391657717. The cubic root of 72124920 is about 416.2572219616.

The spelling of 72124920 in words is "seventy-two million, one hundred twenty-four thousand, nine hundred twenty".