76133024 has 48 divisors (see below), whose sum is σ = 168811776. Its totient is φ = 33484800.

The previous prime is 76133009. The next prime is 76133039. The reversal of 76133024 is 42033167.

It is an interprime number because it is at equal distance from previous prime (76133009) and next prime (76133039).

It is a junction number, because it is equal to n+sod(n) for n = 76132984 and 76133002.

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, 7424 + ... + 14400.

It is an arithmetic number, because the mean of its divisors is an integer number (3516912).

Almost surely, 2^76133024 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 76133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84405888).

76133024 is an abundant number, since it is smaller than the sum of its proper divisors (92678752).

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

76133024 is a wasteful number, since it uses less digits than its factorization.

76133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 76133024 is about 8725.4240011589. The cubic root of 76133024 is about 423.8293486745.

The spelling of 76133024 in words is "seventy-six million, one hundred thirty-three thousand, twenty-four".