76365072 has 80 divisors (see below), whose sum is σ = 250519680. Its totient is φ = 21817728.

The previous prime is 76365049. The next prime is 76365097. The reversal of 76365072 is 27056367.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9603 + ... + 15650.

It is an arithmetic number, because the mean of its divisors is an integer number (3131496).

Almost surely, 2^76365072 is an apocalyptic number.

76365072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76365072 is an abundant number, since it is smaller than the sum of its proper divisors (174154608).

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

76365072 is a wasteful number, since it uses less digits than its factorization.

76365072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25277 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 76365072 is about 8738.7111177793. The cubic root of 76365072 is about 424.2595124257.

The spelling of 76365072 in words is "seventy-six million, three hundred sixty-five thousand, seventy-two".