72570 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 18560.

The previous prime is 72559. The next prime is 72577. The reversal of 72570 is 7527.

72570 = 16² + 17² + ... + 60².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72577) by changing a digit.

72570 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁷²⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

72570 is an abundant number, since it is smaller than the sum of its proper divisors (108870).

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

72570 is a wasteful number, since it uses less digits than its factorization.

72570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

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

The square root of 72570 is about 269.3881957325. The cubic root of 72570 is about 41.7111702272.

The spelling of 72570 in words is "seventy-two thousand, five hundred seventy".