77725872 has 80 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 22206528.

The previous prime is 77725871. The next prime is 77725877. The reversal of 77725872 is 27852777.

It is a happy number.

It is a super-2 number, since 2×77725872² = 12082622356320768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77725871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9828 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2^77725872 is an apocalyptic number.

77725872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77725872 is an abundant number, since it is smaller than the sum of its proper divisors (177257808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77725872 is a wasteful number, since it uses less digits than its factorization.

77725872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25727 (or 25715 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 77725872 is about 8816.2277647529. The cubic root of 77725872 is about 426.7647441634.

The spelling of 77725872 in words is "seventy-seven million, seven hundred twenty-five thousand, eight hundred seventy-two".