75240960 has 160 divisors (see below), whose sum is σ = 245421792. Its totient is φ = 19660800.

The previous prime is 75240959. The next prime is 75240961. The reversal of 75240960 is 6904257.

It is an interprime number because it is at equal distance from previous prime (75240959) and next prime (75240961).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×75240960² = 11322404123443200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75240961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744910 + ... + 745010.

Almost surely, 2^75240960 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 75240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122710896).

75240960 is an abundant number, since it is smaller than the sum of its proper divisors (170180832).

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

75240960 is a wasteful number, since it uses less digits than its factorization.

75240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 75240960 is about 8674.1547138612. The cubic root of 75240960 is about 422.1674799245.

The spelling of 75240960 in words is "seventy-five million, two hundred forty thousand, nine hundred sixty".