72970920 has 96 divisors (see below), whose sum is σ = 258729120. Its totient is φ = 17688960.

The previous prime is 72970913. The next prime is 72970921. The reversal of 72970920 is 2907927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72970921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5254 + ... + 13173.

It is an arithmetic number, because the mean of its divisors is an integer number (2695095).

Almost surely, 2^72970920 is an apocalyptic number.

It is an amenable number.

72970920 is an abundant number, since it is smaller than the sum of its proper divisors (185758200).

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

72970920 is a wasteful number, since it uses less digits than its factorization.

72970920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72970920 is about 8542.3017975251. The cubic root of 72970920 is about 417.8784167498.

The spelling of 72970920 in words is "seventy-two million, nine hundred seventy thousand, nine hundred twenty".