75480720 has 160 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 17088000.

The previous prime is 75480709. The next prime is 75480751. The reversal of 75480720 is 2708457.

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, 300595 + ... + 300845.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^75480720 is an apocalyptic number.

75480720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

75480720 is an abundant number, since it is smaller than the sum of its proper divisors (194502000).

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

75480720 is a wasteful number, since it uses less digits than its factorization.

75480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 75480720 is about 8687.9640883236. The cubic root of 75480720 is about 422.6154254385.

The spelling of 75480720 in words is "seventy-five million, four hundred eighty thousand, seven hundred twenty".