75245760 has 140 divisors (see below), whose sum is σ = 267754608. Its totient is φ = 20058624.

The previous prime is 75245759. The next prime is 75245767. The reversal of 75245760 is 6754257.

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

It is not an unprimeable number, because it can be changed into a prime (75245767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24469 + ... + 27371.

Almost surely, 2^75245760 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 75245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133877304).

75245760 is an abundant number, since it is smaller than the sum of its proper divisors (192508848).

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

75245760 is a wasteful number, since it uses less digits than its factorization.

75245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2913 counting only the distinct ones).

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

The square root of 75245760 is about 8674.4313934690. The cubic root of 75245760 is about 422.1764571306.

The spelling of 75245760 in words is "seventy-five million, two hundred forty-five thousand, seven hundred sixty".