75234960 has 160 divisors (see below), whose sum is σ = 263852160. Its totient is φ = 19699200.

The previous prime is 75234947. The next prime is 75234967. The reversal of 75234960 is 6943257.

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 (75234967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131475 + ... + 132045.

It is an arithmetic number, because the mean of its divisors is an integer number (1649076).

Almost surely, 2^75234960 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 75234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131926080).

75234960 is an abundant number, since it is smaller than the sum of its proper divisors (188617200).

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

75234960 is a wasteful number, since it uses less digits than its factorization.

75234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 75234960 is about 8673.8088519404. The cubic root of 75234960 is about 422.1562578799.

The spelling of 75234960 in words is "seventy-five million, two hundred thirty-four thousand, nine hundred sixty".