332642772 has 288 divisors, whose sum is σ = 1118208000. Its totient is φ = 82555200.

The previous prime is 332642749. The next prime is 332642809. The reversal of 332642772 is 277246233.

332642772 is a `hidden beast` number, since 3 + 3 + 2 + 642 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×332642772² = 221302427527687968, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4210629 + ... + 4210707.

Almost surely, 2^332642772 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 332642772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559104000).

332642772 is an abundant number, since it is smaller than the sum of its proper divisors (785565228).

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

332642772 is a wasteful number, since it uses less digits than its factorization.

332642772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 332642772 is about 18238.4969775472. The cubic root of 332642772 is about 692.8821348368.

The spelling of 332642772 in words is "three hundred thirty-two million, six hundred forty-two thousand, seven hundred seventy-two".