72975253 has 16 divisors (see below), whose sum is σ = 80410176. Its totient is φ = 65819520.

The previous prime is 72975167. The next prime is 72975277. The reversal of 72975253 is 35257927.

It is not a de Polignac number, because 72975253 - 2¹⁷ = 72844181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72975053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124026 + ... + 124612.

It is an arithmetic number, because the mean of its divisors is an integer number (5025636).

Almost surely, 2^72975253 is an apocalyptic number.

72975253 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72975253 is a deficient number, since it is larger than the sum of its proper divisors (7434923).

72975253 is a wasteful number, since it uses less digits than its factorization.

72975253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804.

The product of its digits is 132300, while the sum is 40.

The square root of 72975253 is about 8542.5554139262. Note that the first 3 decimals coincide. The cubic root of 72975253 is about 417.8866877676.

The spelling of 72975253 in words is "seventy-two million, nine hundred seventy-five thousand, two hundred fifty-three".