75132024 has 32 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 22767200.

The previous prime is 75132019. The next prime is 75132041. The reversal of 75132024 is 42023157.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 75131985 and 75132003.

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, 142032 + ... + 142559.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^75132024 is an apocalyptic number.

It is an amenable number.

75132024 is an abundant number, since it is smaller than the sum of its proper divisors (129774216).

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

75132024 is a wasteful number, since it uses less digits than its factorization.

75132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284611 (or 284607 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 75132024 is about 8667.8730955177. The cubic root of 75132024 is about 421.9636394928.

The spelling of 75132024 in words is "seventy-five million, one hundred thirty-two thousand, twenty-four".