75152 has 40 divisors (see below), whose sum is σ = 184512. Its totient is φ = 28800.

The previous prime is 75149. The next prime is 75161. The reversal of 75152 is 25157.

It is a super-3 number, since 3×75152³ = 1273335605735424, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202 + ... + 1262.

2⁷⁵¹⁵² is an apocalyptic number.

75152 is the 224-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256).

75152 is an abundant number, since it is smaller than the sum of its proper divisors (109360).

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

75152 is a wasteful number, since it uses less digits than its factorization.

75152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 350, while the sum is 20.

The square root of 75152 is about 274.1386510509. The cubic root of 75152 is about 42.2001033218.

The spelling of 75152 in words is "seventy-five thousand, one hundred fifty-two".