75256320 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 19496960.

The previous prime is 75256303. The next prime is 75256327. The reversal of 75256320 is 2365257.

It is a tau number, because it is divible by the number of its divisors (160).

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 (75256327) 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, 314761 + ... + 314999.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^75256320 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 75256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

75256320 is an abundant number, since it is smaller than the sum of its proper divisors (172227840).

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

75256320 is a wasteful number, since it uses less digits than its factorization.

75256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 75256320 is about 8675.0400575444. The cubic root of 75256320 is about 422.1962056402.

The spelling of 75256320 in words is "seventy-five million, two hundred fifty-six thousand, three hundred twenty".