75633372 has 48 divisors (see below), whose sum is σ = 197075200. Its totient is φ = 25084080.

The previous prime is 75633343. The next prime is 75633373. The reversal of 75633372 is 27333657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75633373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21129 + ... + 24447.

Almost surely, 2^75633372 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 75633372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98537600).

75633372 is an abundant number, since it is smaller than the sum of its proper divisors (121441828).

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

75633372 is a wasteful number, since it uses less digits than its factorization.

75633372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3535 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 75633372 is about 8696.7449082976. The cubic root of 75633372 is about 422.9001323515.

The spelling of 75633372 in words is "seventy-five million, six hundred thirty-three thousand, three hundred seventy-two".