77072125 has 32 divisors (see below), whose sum is σ = 106089984. Its totient is φ = 55540800.

The previous prime is 77072081. The next prime is 77072137. The reversal of 77072125 is 52127077.

It is not a de Polignac number, because 77072125 - 2⁹ = 77071613 is a prime.

It is a super-2 number, since 2×77072125² = 11880224904031250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69324 + ... + 70426.

It is an arithmetic number, because the mean of its divisors is an integer number (3315312).

Almost surely, 2^77072125 is an apocalyptic number.

It is an amenable number.

77072125 is a deficient number, since it is larger than the sum of its proper divisors (29017859).

77072125 is a wasteful number, since it uses less digits than its factorization.

77072125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 77072125 is about 8779.0731287534. The cubic root of 77072125 is about 425.5648774798.

The spelling of 77072125 in words is "seventy-seven million, seventy-two thousand, one hundred twenty-five".