76725792 has 336 divisors, whose sum is σ = 277639488. Its totient is φ = 20528640.

The previous prime is 76725731. The next prime is 76725797. The reversal of 76725792 is 29752767.

76725792 is a `hidden beast` number, since 7 + 6 + 72 + 579 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (76725797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3335893 + ... + 3335915.

It is an arithmetic number, because the mean of its divisors is an integer number (826308).

Almost surely, 2^76725792 is an apocalyptic number.

76725792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76725792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138819744).

76725792 is an abundant number, since it is smaller than the sum of its proper divisors (200913696).

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

76725792 is a wasteful number, since it uses less digits than its factorization.

76725792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 76725792 is about 8759.3260014684. The cubic root of 76725792 is about 424.9264777086.

The spelling of 76725792 in words is "seventy-six million, seven hundred twenty-five thousand, seven hundred ninety-two".