75454720 has 144 divisors (see below), whose sum is σ = 206623872. Its totient is φ = 26132480.

The previous prime is 75454711. The next prime is 75454747. The reversal of 75454720 is 2745457.

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, 323724 + ... + 323956.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888).

Almost surely, 2^75454720 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 75454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103311936).

75454720 is an abundant number, since it is smaller than the sum of its proper divisors (131169152).

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

75454720 is a wasteful number, since it uses less digits than its factorization.

75454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 75454720 is about 8686.4676365022. The cubic root of 75454720 is about 422.5668953284.

The spelling of 75454720 in words is "seventy-five million, four hundred fifty-four thousand, seven hundred twenty".