75315120 has 160 divisors (see below), whose sum is σ = 246841344. Its totient is φ = 18969600.

The previous prime is 75315101. The next prime is 75315139. The reversal of 75315120 is 2151357.

It is an interprime number because it is at equal distance from previous prime (75315101) and next prime (75315139).

It is a super-2 number, since 2×75315120² = 11344734601228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394225 + ... + 394415.

Almost surely, 2^75315120 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 75315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123420672).

75315120 is an abundant number, since it is smaller than the sum of its proper divisors (171526224).

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

75315120 is a wasteful number, since it uses less digits than its factorization.

75315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 75315120 is about 8678.4284291570. The cubic root of 75315120 is about 422.3061351635.

Adding to 75315120 its reverse (2151357), we get a palindrome (77466477).

The spelling of 75315120 in words is "seventy-five million, three hundred fifteen thousand, one hundred twenty".