72974307 has 16 divisors (see below), whose sum is σ = 117052160. Its totient is φ = 39504672.

The previous prime is 72974303. The next prime is 72974309. The reversal of 72974307 is 70347927.

It is not a de Polignac number, because 72974307 - 2² = 72974303 is a prime.

It is the 8543-rd Hogben number.

It is not an unprimeable number, because it can be changed into a prime (72974303) by changing a digit.

It is a nontrivial repunit in base 8542.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91048 + ... + 91845.

It is an arithmetic number, because the mean of its divisors is an integer number (7315760).

Almost surely, 2^72974307 is an apocalyptic number.

72974307 is a deficient number, since it is larger than the sum of its proper divisors (44077853).

72974307 is a wasteful number, since it uses less digits than its factorization.

72974307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182922.

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 72974307 is about 8542.5000438982. The cubic root of 72974307 is about 417.8848820298.

The spelling of 72974307 in words is "seventy-two million, nine hundred seventy-four thousand, three hundred seven".