75327238272 has 1024 divisors, whose sum is σ = 272421273600. Its totient is φ = 18048614400.

The previous prime is 75327238271. The next prime is 75327238297. The reversal of 75327238272 is 27283272357.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1975680) is a multiple of the sum of its prime factors (245).

It is not an unprimeable number, because it can be changed into a prime (75327238271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549833788 + ... + 549833924.

It is an arithmetic number, because the mean of its divisors is an integer number (266036400).

Almost surely, 2^75327238272 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 75327238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136210636800).

75327238272 is an abundant number, since it is smaller than the sum of its proper divisors (197094035328).

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

75327238272 is a wasteful number, since it uses less digits than its factorization.

75327238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The spelling of 75327238272 in words is "seventy-five billion, three hundred twenty-seven million, two hundred thirty-eight thousand, two hundred seventy-two".