76293252 has 72 divisors (see below), whose sum is σ = 228586176. Its totient is φ = 21796128.

The previous prime is 76293241. The next prime is 76293257. The reversal of 76293252 is 25239267.

76293252 is a `hidden beast` number, since 7 + 629 + 3 + 25 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76293257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198 + ... + 12410.

It is an arithmetic number, because the mean of its divisors is an integer number (3174808).

Almost surely, 2^76293252 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 76293252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114293088).

76293252 is an abundant number, since it is smaller than the sum of its proper divisors (152292924).

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

76293252 is a wasteful number, since it uses less digits than its factorization.

76293252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11239 (or 11225 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 76293252 is about 8734.6008494951. The cubic root of 76293252 is about 424.1264678516.

The spelling of 76293252 in words is "seventy-six million, two hundred ninety-three thousand, two hundred fifty-two".