75242760 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 19808256.

The previous prime is 75242753. The next prime is 75242773. The reversal of 75242760 is 6724257.

It is a super-2 number, since 2×75242760² = 11322945864835200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5512 + ... + 13448.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^75242760 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 75242760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

75242760 is an abundant number, since it is smaller than the sum of its proper divisors (153371640).

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

75242760 is a wasteful number, since it uses less digits than its factorization.

75242760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 75242760 is about 8674.2584697483. The cubic root of 75242760 is about 422.1708464215.

The spelling of 75242760 in words is "seventy-five million, two hundred forty-two thousand, seven hundred sixty".