76416252 has 48 divisors (see below), whose sum is σ = 204758400. Its totient is φ = 21936960.

The previous prime is 76416229. The next prime is 76416253. The reversal of 76416252 is 25261467.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76416253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12727 + ... + 17742.

It is an arithmetic number, because the mean of its divisors is an integer number (4265800).

Almost surely, 2^76416252 is an apocalyptic number.

It is an amenable number.

76416252 is an abundant number, since it is smaller than the sum of its proper divisors (128342148).

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

76416252 is a wasteful number, since it uses less digits than its factorization.

76416252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30506 (or 30504 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 76416252 is about 8741.6389767594. The cubic root of 76416252 is about 424.3542710732.

It can be divided in two parts, 76 and 416252, that added together give a triangular number (416328 = T₉₁₂).

The spelling of 76416252 in words is "seventy-six million, four hundred sixteen thousand, two hundred fifty-two".