75318720 has 112 divisors (see below), whose sum is σ = 242913408. Its totient is φ = 19768320.

The previous prime is 75318707. The next prime is 75318731. The reversal of 75318720 is 2781357.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63735 + ... + 64905.

Almost surely, 2^75318720 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 75318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121456704).

75318720 is an abundant number, since it is smaller than the sum of its proper divisors (167594688).

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

75318720 is a wasteful number, since it uses less digits than its factorization.

75318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 75318720 is about 8678.6358375035. The cubic root of 75318720 is about 422.3128636835.

The spelling of 75318720 in words is "seventy-five million, three hundred eighteen thousand, seven hundred twenty".