75023872 has 120 divisors (see below), whose sum is σ = 189394128. Its totient is φ = 29061120.

The previous prime is 75023867. The next prime is 75023881. The reversal of 75023872 is 27832057.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433578 + ... + 433750.

Almost surely, 2^75023872 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 75023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94697064).

75023872 is an abundant number, since it is smaller than the sum of its proper divisors (114370256).

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

75023872 is a wasteful number, since it uses less digits than its factorization.

75023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 75023872 is about 8661.6321787525. The cubic root of 75023872 is about 421.7610710703.

The spelling of 75023872 in words is "seventy-five million, twenty-three thousand, eight hundred seventy-two".