76583232 has 280 divisors, whose sum is σ = 265541760. Its totient is φ = 21565440.

The previous prime is 76583219. The next prime is 76583263. The reversal of 76583232 is 23238567.

76583232 is a `hidden beast` number, since 76 + 583 + 2 + 3 + 2 = 666.

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.

Its product of digits (60480) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 969369 + ... + 969447.

Almost surely, 2^76583232 is an apocalyptic number.

76583232 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 76583232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

76583232 is an abundant number, since it is smaller than the sum of its proper divisors (188958528).

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

76583232 is a wasteful number, since it uses less digits than its factorization.

76583232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 76583232 is about 8751.1846055263. The cubic root of 76583232 is about 424.6631369881.

The spelling of 76583232 in words is "seventy-six million, five hundred eighty-three thousand, two hundred thirty-two".