76282752 has 256 divisors, whose sum is σ = 260467200. Its totient is φ = 19243008.

The previous prime is 76282729. The next prime is 76282763. The reversal of 76282752 is 25728267.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 76282752.

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, 1292899 + ... + 1292957.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^76282752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

76282752 is an abundant number, since it is smaller than the sum of its proper divisors (184184448).

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

76282752 is a wasteful number, since it uses less digits than its factorization.

76282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 76282752 is about 8733.9997710098. Note that the first 3 decimals coincide. The cubic root of 76282752 is about 424.1070098956.

The spelling of 76282752 in words is "seventy-six million, two hundred eighty-two thousand, seven hundred fifty-two".