76127625 has 72 divisors (see below), whose sum is σ = 159753672. Its totient is φ = 34776000.

The previous prime is 76127621. The next prime is 76127647. The reversal of 76127625 is 52672167.

76127625 is a `hidden beast` number, since 7 + 6 + 1 + 27 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4149369 + 71978256 = 2037^2 + 8484^2 .

It is not a de Polignac number, because 76127625 - 2² = 76127621 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 76127625.

It is not an unprimeable number, because it can be changed into a prime (76127621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54435 + ... + 55815.

It is an arithmetic number, because the mean of its divisors is an integer number (2218801).

Almost surely, 2^76127625 is an apocalyptic number.

76127625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76127625 is an abundant number, since it is smaller than the sum of its proper divisors (83626047).

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

76127625 is a wasteful number, since it uses less digits than its factorization.

76127625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1396 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 76127625 is about 8725.1146124277. The cubic root of 76127625 is about 423.8193297689.

The spelling of 76127625 in words is "seventy-six million, one hundred twenty-seven thousand, six hundred twenty-five".