75240576 has 192 divisors, whose sum is σ = 233906400. Its totient is φ = 24053760.

The previous prime is 75240569. The next prime is 75240611. The reversal of 75240576 is 67504257.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×75240576² = 11322288553623552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75240576.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1275235 + ... + 1275293.

Almost surely, 2^75240576 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 75240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

75240576 is an abundant number, since it is smaller than the sum of its proper divisors (158665824).

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

75240576 is an equidigital number, since it uses as much as digits as its factorization.

75240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 75240576 is about 8674.1325791113. The cubic root of 75240576 is about 422.1667617315.

It can be divided in two parts, 752 and 40576, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 75240576 in words is "seventy-five million, two hundred forty thousand, five hundred seventy-six".