75407232 has 64 divisors (see below), whose sum is σ = 201225600. Its totient is φ = 25019904.

The previous prime is 75407231. The next prime is 75407239. The reversal of 75407232 is 23270457.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 75407232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75407231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137583 + ... + 138129.

It is an arithmetic number, because the mean of its divisors is an integer number (3144150).

Almost surely, 2^75407232 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 75407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100612800).

75407232 is an abundant number, since it is smaller than the sum of its proper divisors (125818368).

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

75407232 is a wasteful number, since it uses less digits than its factorization.

75407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 75407232 is about 8683.7337591614. The cubic root of 75407232 is about 422.4782281651.

Adding to 75407232 its reverse (23270457), we get a palindrome (98677689).

The spelling of 75407232 in words is "seventy-five million, four hundred seven thousand, two hundred thirty-two".