75099960 has 160 divisors (see below), whose sum is σ = 271988640. Its totient is φ = 18475776.

The previous prime is 75099943. The next prime is 75100009. The reversal of 75099960 is 6999057.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41229 + ... + 43011.

It is an arithmetic number, because the mean of its divisors is an integer number (1699929).

Almost surely, 2^75099960 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 75099960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135994320).

75099960 is an abundant number, since it is smaller than the sum of its proper divisors (196888680).

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

75099960 is a wasteful number, since it uses less digits than its factorization.

75099960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 75099960 is about 8666.0233094540. The cubic root of 75099960 is about 421.9036039865.

The spelling of 75099960 in words is "seventy-five million, ninety-nine thousand, nine hundred sixty".