76052032 has 56 divisors (see below), whose sum is σ = 175784256. Its totient is φ = 31968768.

The previous prime is 76052027. The next prime is 76052071. The reversal of 76052032 is 23025067.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76051988 and 76052006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22143 + ... + 25345.

Almost surely, 2^76052032 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 76052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87892128).

76052032 is an abundant number, since it is smaller than the sum of its proper divisors (99732224).

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

76052032 is a wasteful number, since it uses less digits than its factorization.

76052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 76052032 is about 8720.7816163461. The cubic root of 76052032 is about 423.6790023266.

Adding to 76052032 its reverse (23025067), we get a palindrome (99077099).

The spelling of 76052032 in words is "seventy-six million, fifty-two thousand, thirty-two".