72727675875 has 64 divisors (see below), whose sum is σ = 134525988480. Its totient is φ = 38770617600.

The previous prime is 72727675871. The next prime is 72727675883. The reversal of 72727675875 is 57857672727.

72727675875 is a `hidden beast` number, since 7 + 27 + 27 + 6 + 7 + 587 + 5 = 666.

It is not a de Polignac number, because 72727675875 - 2² = 72727675871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72727675871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11583237 + ... + 11589513.

It is an arithmetic number, because the mean of its divisors is an integer number (2101968570).

Almost surely, 2^72727675875 is an apocalyptic number.

72727675875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72727675875 is a deficient number, since it is larger than the sum of its proper divisors (61798312605).

72727675875 is a wasteful number, since it uses less digits than its factorization.

72727675875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9718 counting only the distinct ones).

The product of its digits is 80673600, while the sum is 63.

The spelling of 72727675875 in words is "seventy-two billion, seven hundred twenty-seven million, six hundred seventy-five thousand, eight hundred seventy-five".