75607872 has 112 divisors (see below), whose sum is σ = 213116160. Its totient is φ = 23611392.

The previous prime is 75607867. The next prime is 75607879. The reversal of 75607872 is 27870657.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75607879) 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, 205833 + ... + 206199.

Almost surely, 2^75607872 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 75607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558080).

75607872 is an abundant number, since it is smaller than the sum of its proper divisors (137508288).

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

75607872 is a wasteful number, since it uses less digits than its factorization.

75607872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 75607872 is about 8695.2787189371. The cubic root of 75607872 is about 422.8525996938.

The spelling of 75607872 in words is "seventy-five million, six hundred seven thousand, eight hundred seventy-two".