75928032 has 72 divisors (see below), whose sum is σ = 223390440. Its totient is φ = 24433920.

The previous prime is 75928031. The next prime is 75928043. The reversal of 75928032 is 23082957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (75928031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3807 + ... + 12897.

It is an arithmetic number, because the mean of its divisors is an integer number (3102645).

Almost surely, 2^75928032 is an apocalyptic number.

75928032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111695220).

75928032 is an abundant number, since it is smaller than the sum of its proper divisors (147462408).

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

75928032 is a wasteful number, since it uses less digits than its factorization.

75928032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75928032 is about 8713.6692615683. The cubic root of 75928032 is about 423.4486128000.

The spelling of 75928032 in words is "seventy-five million, nine hundred twenty-eight thousand, thirty-two".