72747825 has 24 divisors (see below), whose sum is σ = 120834528. Its totient is φ = 38618880.

The previous prime is 72747823. The next prime is 72747881. The reversal of 72747825 is 52874727.

It is not a de Polignac number, because 72747825 - 2¹ = 72747823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72747823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14889 + ... + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (5034772).

Almost surely, 2^72747825 is an apocalyptic number.

72747825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72747825 is a deficient number, since it is larger than the sum of its proper divisors (48086703).

72747825 is a wasteful number, since it uses less digits than its factorization.

72747825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4508 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 72747825 is about 8529.2335529050. The cubic root of 72747825 is about 417.4521201980.

The spelling of 72747825 in words is "seventy-two million, seven hundred forty-seven thousand, eight hundred twenty-five".