72972117 has 8 divisors (see below), whose sum is σ = 108106880. Its totient is φ = 48648060.

The previous prime is 72972089. The next prime is 72972127. The reversal of 72972117 is 71127927.

It is not a de Polignac number, because 72972117 - 2¹⁴ = 72955733 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 (72972127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351309 + ... + 1351362.

It is an arithmetic number, because the mean of its divisors is an integer number (13513360).

Almost surely, 2^72972117 is an apocalyptic number.

It is an amenable number.

72972117 is a deficient number, since it is larger than the sum of its proper divisors (35134763).

72972117 is a wasteful number, since it uses less digits than its factorization.

72972117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702680 (or 2702674 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 72972117 is about 8542.3718603208. The cubic root of 72972117 is about 417.8807016679.

The spelling of 72972117 in words is "seventy-two million, nine hundred seventy-two thousand, one hundred seventeen".