76573952 has 144 divisors (see below), whose sum is σ = 199167360. Its totient is φ = 28532736.

The previous prime is 76573907. The next prime is 76573957. The reversal of 76573952 is 25937567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76573957) 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, 442538 + ... + 442710.

Almost surely, 2^76573952 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 76573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99583680).

76573952 is an abundant number, since it is smaller than the sum of its proper divisors (122593408).

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

76573952 is a wasteful number, since it uses less digits than its factorization.

76573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its digits is 396900, while the sum is 44.

The square root of 76573952 is about 8750.6543755310. The cubic root of 76573952 is about 424.6459833937.

The spelling of 76573952 in words is "seventy-six million, five hundred seventy-three thousand, nine hundred fifty-two".