75270 has 32 divisors (see below), whose sum is σ = 195552. Its totient is φ = 18432.

The previous prime is 75269. The next prime is 75277. The reversal of 75270 is 7257.

75270 = 70² + 71² + ... + 82².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75270.

It is not an unprimeable number, because it can be changed into a prime (75277) 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, 294 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (6111).

2⁷⁵²⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97776).

75270 is an abundant number, since it is smaller than the sum of its proper divisors (120282).

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

75270 is a wasteful number, since it uses less digits than its factorization.

75270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75270 is about 274.3537861959. The cubic root of 75270 is about 42.2221786190. Note that the first 3 decimals are identical.

The spelling of 75270 in words is "seventy-five thousand, two hundred seventy".