72072875 has 48 divisors (see below), whose sum is σ = 107515200. Its totient is φ = 48216000.

The previous prime is 72072863. The next prime is 72072899. The reversal of 72072875 is 57827027.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 72072875 - 2⁶ = 72072811 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1757855 + ... + 1757895.

It is an arithmetic number, because the mean of its divisors is an integer number (2239900).

Almost surely, 2^72072875 is an apocalyptic number.

72072875 is a deficient number, since it is larger than the sum of its proper divisors (35442325).

72072875 is an frugal number, since it uses more digits than its factorization.

72072875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 72072875 is about 8489.5744887479. The cubic root of 72072875 is about 416.1570747905.

The spelling of 72072875 in words is "seventy-two million, seventy-two thousand, eight hundred seventy-five".