72731625 has 16 divisors (see below), whose sum is σ = 121026048. Its totient is φ = 38790000.

The previous prime is 72731621. The next prime is 72731629. The reversal of 72731625 is 52613727.

It is an interprime number because it is at equal distance from previous prime (72731621) and next prime (72731629).

It is not a de Polignac number, because 72731625 - 2² = 72731621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72731621) 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, 96601 + ... + 97350.

It is an arithmetic number, because the mean of its divisors is an integer number (7564128).

Almost surely, 2^72731625 is an apocalyptic number.

72731625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72731625 is a deficient number, since it is larger than the sum of its proper divisors (48294423).

72731625 is a wasteful number, since it uses less digits than its factorization.

72731625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193969 (or 193959 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 72731625 is about 8528.2838250143. The cubic root of 72731625 is about 417.4211308344.

The spelling of 72731625 in words is "seventy-two million, seven hundred thirty-one thousand, six hundred twenty-five".