75872160 has 384 divisors, whose sum is σ = 328527360. Its totient is φ = 15925248.

The previous prime is 75872143. The next prime is 75872161. The reversal of 75872160 is 6127857.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75872161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393024 + ... + 393216.

It is an arithmetic number, because the mean of its divisors is an integer number (855540).

Almost surely, 2^75872160 is an apocalyptic number.

75872160 is a gapful number since it is divisible by the number (70) 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 75872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164263680).

75872160 is an abundant number, since it is smaller than the sum of its proper divisors (252655200).

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

75872160 is a wasteful number, since it uses less digits than its factorization.

75872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75872160 is about 8710.4626742786. The cubic root of 75872160 is about 423.3447217608.

The spelling of 75872160 in words is "seventy-five million, eight hundred seventy-two thousand, one hundred sixty".