75560520 has 128 divisors (see below), whose sum is σ = 270397440. Its totient is φ = 16515840.

The previous prime is 75560483. The next prime is 75560521. The reversal of 75560520 is 2506557.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (75560521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17365 + ... + 21275.

It is an arithmetic number, because the mean of its divisors is an integer number (2112480).

Almost surely, 2^75560520 is an apocalyptic number.

75560520 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 75560520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135198720).

75560520 is an abundant number, since it is smaller than the sum of its proper divisors (194836920).

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

75560520 is a wasteful number, since it uses less digits than its factorization.

75560520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 75560520 is about 8692.5554355437. Note that the first 3 decimals coincide. The cubic root of 75560520 is about 422.7643059873.

The spelling of 75560520 in words is "seventy-five million, five hundred sixty thousand, five hundred twenty".