75313152 has 130 divisors (see below), whose sum is σ = 225973308. Its totient is φ = 24993792.

The previous prime is 75313141. The next prime is 75313157. The reversal of 75313152 is 25131357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75313157) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331663 + ... + 331889.

Almost surely, 2^75313152 is an apocalyptic number.

75313152 is a gapful number since it is divisible by the number (72) 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 75313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112986654).

75313152 is an abundant number, since it is smaller than the sum of its proper divisors (150660156).

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

75313152 is an equidigital number, since it uses as much as digits as its factorization.

75313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 75313152 is about 8678.3150438320. The cubic root of 75313152 is about 422.3024568153.

The spelling of 75313152 in words is "seventy-five million, three hundred thirteen thousand, one hundred fifty-two".