72777884625 has 24 divisors (see below), whose sum is σ = 131194268712. Its totient is φ = 38814871200.

The previous prime is 72777884617. The next prime is 72777884653. The reversal of 72777884625 is 52648877727.

It is a happy number.

72777884625 is a `hidden beast` number, since 7 + 27 + 77 + 88 + 462 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1923962769 + 70853921856 = 43863^2 + 266184^2 .

It is not a de Polignac number, because 72777884625 - 2³ = 72777884617 is a prime.

It is a super-2 number, since 2×72777884625² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32344602 + ... + 32346851.

It is an arithmetic number, because the mean of its divisors is an integer number (5466427863).

Almost surely, 2^72777884625 is an apocalyptic number.

72777884625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72777884625 is a deficient number, since it is larger than the sum of its proper divisors (58416384087).

72777884625 is a wasteful number, since it uses less digits than its factorization.

72777884625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691474 (or 64691461 counting only the distinct ones).

The product of its digits is 73758720, while the sum is 63.

The spelling of 72777884625 in words is "seventy-two billion, seven hundred seventy-seven million, eight hundred eighty-four thousand, six hundred twenty-five".