75690528 has 96 divisors (see below), whose sum is σ = 221538240. Its totient is φ = 22487040.

The previous prime is 75690521. The next prime is 75690529. The reversal of 75690528 is 82509657.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75690528.

It is not an unprimeable number, because it can be changed into a prime (75690521) 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, 29788 + ... + 32228.

It is an arithmetic number, because the mean of its divisors is an integer number (2307690).

Almost surely, 2^75690528 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 75690528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110769120).

75690528 is an abundant number, since it is smaller than the sum of its proper divisors (145847712).

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

75690528 is a wasteful number, since it uses less digits than its factorization.

75690528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 75690528 is about 8700.0303447747. The cubic root of 75690528 is about 423.0066338122.

The spelling of 75690528 in words is "seventy-five million, six hundred ninety thousand, five hundred twenty-eight".