75807032 has 64 divisors (see below), whose sum is σ = 168315840. Its totient is φ = 31334400.

The previous prime is 75807031. The next prime is 75807041. The reversal of 75807032 is 23070857.

It is a super-2 number, since 2×75807032² = 11493412201298048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75807032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75807031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314432 + ... + 314672.

It is an arithmetic number, because the mean of its divisors is an integer number (2629935).

Almost surely, 2^75807032 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 75807032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84157920).

75807032 is an abundant number, since it is smaller than the sum of its proper divisors (92508808).

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

75807032 is a wasteful number, since it uses less digits than its factorization.

75807032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 75807032 is about 8706.7233790904. The cubic root of 75807032 is about 423.2235552800.

Adding to 75807032 its reverse (23070857), we get a palindrome (98877889).

The spelling of 75807032 in words is "seventy-five million, eight hundred seven thousand, thirty-two".