72973257 has 16 divisors (see below), whose sum is σ = 111393792. Its totient is φ = 41625360.

The previous prime is 72973237. The next prime is 72973283. The reversal of 72973257 is 75237927.

It is not a de Polignac number, because 72973257 - 2¹² = 72969161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72973237) 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, 10498 + ... + 16004.

It is an arithmetic number, because the mean of its divisors is an integer number (6962112).

Almost surely, 2^72973257 is an apocalyptic number.

It is an amenable number.

72973257 is a deficient number, since it is larger than the sum of its proper divisors (38420535).

72973257 is a wasteful number, since it uses less digits than its factorization.

72973257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148.

The product of its digits is 185220, while the sum is 42.

The square root of 72973257 is about 8542.4385862586. The cubic root of 72973257 is about 417.8828777571.

The spelling of 72973257 in words is "seventy-two million, nine hundred seventy-three thousand, two hundred fifty-seven".