76172292 has 96 divisors (see below), whose sum is σ = 237619200. Its totient is φ = 20614176.

The previous prime is 76172287. The next prime is 76172293. The reversal of 76172292 is 29227167.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76172293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11713 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (2475200).

Almost surely, 2^76172292 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 76172292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118809600).

76172292 is an abundant number, since it is smaller than the sum of its proper divisors (161446908).

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

76172292 is a wasteful number, since it uses less digits than its factorization.

76172292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5334 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 76172292 is about 8727.6739169151. The cubic root of 76172292 is about 423.9022039194.

The spelling of 76172292 in words is "seventy-six million, one hundred seventy-two thousand, two hundred ninety-two".