75282152 has 32 divisors (see below), whose sum is σ = 156168000. Its totient is φ = 33734400.

The previous prime is 75282143. The next prime is 75282211. The reversal of 75282152 is 25128257.

It is a happy number.

It is a super-2 number, since 2×75282152² = 11334804819502208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 224 + ... + 12272.

It is an arithmetic number, because the mean of its divisors is an integer number (4880250).

Almost surely, 2^75282152 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 75282152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78084000).

75282152 is an abundant number, since it is smaller than the sum of its proper divisors (80885848).

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

75282152 is a wasteful number, since it uses less digits than its factorization.

75282152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137 (or 12133 counting only the distinct ones).

The product of its digits is 11200, while the sum is 32.

The square root of 75282152 is about 8676.5287990071. The cubic root of 75282152 is about 422.2445068981.

The spelling of 75282152 in words is "seventy-five million, two hundred eighty-two thousand, one hundred fifty-two".