72952951 has 16 divisors (see below), whose sum is σ = 82022400. Its totient is φ = 64562400.

The previous prime is 72952927. The next prime is 72952961. The reversal of 72952951 is 15925927.

It is a 5-Lehmer number, since φ(72952951) divides (72952951-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 72952951 - 2⁷ = 72952823 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 (72952961) 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, 14946 + ... + 19216.

It is an arithmetic number, because the mean of its divisors is an integer number (5126400).

Almost surely, 2^72952951 is an apocalyptic number.

72952951 is the 4271-st decagonal number.

72952951 is a deficient number, since it is larger than the sum of its proper divisors (9069449).

72952951 is a wasteful number, since it uses less digits than its factorization.

72952951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350.

The product of its digits is 56700, while the sum is 40.

The square root of 72952951 is about 8541.2499670716. The cubic root of 72952951 is about 417.8441132505.

The spelling of 72952951 in words is "seventy-two million, nine hundred fifty-two thousand, nine hundred fifty-one".