76004032 has 42 divisors (see below), whose sum is σ = 163337748. Its totient is φ = 35073792.

The previous prime is 76004017. The next prime is 76004069. The reversal of 76004032 is 23040067.

It is a super-2 number, since 2×76004032² = 11553225760514048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) 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 = 76003994 and 76004012.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7303 + ... + 14329.

It is an arithmetic number, because the mean of its divisors is an integer number (3888994).

Almost surely, 2^76004032 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 76004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81668874).

76004032 is an abundant number, since it is smaller than the sum of its proper divisors (87333716).

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

76004032 is a wasteful number, since it uses less digits than its factorization.

76004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 76004032 is about 8718.0291350741. The cubic root of 76004032 is about 423.5898490126.

Adding to 76004032 its reverse (23040067), we get a palindrome (99044099).

The spelling of 76004032 in words is "seventy-six million, four thousand, thirty-two".