75401920 has 112 divisors (see below), whose sum is σ = 202484736. Its totient is φ = 26496000.

The previous prime is 75401891. The next prime is 75401927. The reversal of 75401920 is 2910457.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75401927) 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, 108775 + ... + 109465.

Almost surely, 2^75401920 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 75401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101242368).

75401920 is an abundant number, since it is smaller than the sum of its proper divisors (127082816).

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

75401920 is a wasteful number, since it uses less digits than its factorization.

75401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 75401920 is about 8683.4278945587. The cubic root of 75401920 is about 422.4683075559.

The spelling of 75401920 in words is "seventy-five million, four hundred one thousand, nine hundred twenty".