75214560 has 96 divisors (see below), whose sum is σ = 240371712. Its totient is φ = 19765760.

The previous prime is 75214493. The next prime is 75214561. The reversal of 75214560 is 6541257.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75214561) 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, 32977 + ... + 35183.

It is an arithmetic number, because the mean of its divisors is an integer number (2503872).

Almost surely, 2^75214560 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 75214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120185856).

75214560 is an abundant number, since it is smaller than the sum of its proper divisors (165157152).

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

75214560 is a wasteful number, since it uses less digits than its factorization.

75214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 75214560 is about 8672.6328182392. The cubic root of 75214560 is about 422.1180984650.

The spelling of 75214560 in words is "seventy-five million, two hundred fourteen thousand, five hundred sixty".