75520256 has 144 divisors (see below), whose sum is σ = 190141056. Its totient is φ = 29196288.

The previous prime is 75520253. The next prime is 75520261. The reversal of 75520256 is 65202557.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (75520253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127135 + ... + 1127201.

It is an arithmetic number, because the mean of its divisors is an integer number (1320424).

Almost surely, 2^75520256 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 75520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95070528).

75520256 is an abundant number, since it is smaller than the sum of its proper divisors (114620800).

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

75520256 is a wasteful number, since it uses less digits than its factorization.

75520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 75520256 is about 8690.2391221416. The cubic root of 75520256 is about 422.6891997173.

The spelling of 75520256 in words is "seventy-five million, five hundred twenty thousand, two hundred fifty-six".