76692252 has 144 divisors (see below), whose sum is σ = 228802560. Its totient is φ = 19813248.

The previous prime is 76692251. The next prime is 76692293. The reversal of 76692252 is 25229667.

It is a happy number.

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

Its product of digits (90720) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 76692252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76692251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603813 + ... + 603939.

Almost surely, 2^76692252 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 76692252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114401280).

76692252 is an abundant number, since it is smaller than the sum of its proper divisors (152110308).

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

76692252 is a wasteful number, since it uses less digits than its factorization.

76692252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 76692252 is about 8757.4112613260. The cubic root of 76692252 is about 424.8645510695.

The spelling of 76692252 in words is "seventy-six million, six hundred ninety-two thousand, two hundred fifty-two".