72731307 has 16 divisors (see below), whose sum is σ = 108652032. Its totient is φ = 42887520.

The previous prime is 72731303. The next prime is 72731311. The reversal of 72731307 is 70313727.

It is an interprime number because it is at equal distance from previous prime (72731303) and next prime (72731311).

It is not a de Polignac number, because 72731307 - 2² = 72731303 is a prime.

It is a super-4 number, since 4×72731307⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (72731303) 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, 28563 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (6790752).

Almost surely, 2^72731307 is an apocalyptic number.

72731307 is a deficient number, since it is larger than the sum of its proper divisors (35920725).

72731307 is a wasteful number, since it uses less digits than its factorization.

72731307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59618.

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 72731307 is about 8528.2651811491. The cubic root of 72731307 is about 417.4205224786.

The spelling of 72731307 in words is "seventy-two million, seven hundred thirty-one thousand, three hundred seven".