57240 has 64 divisors (see below), whose sum is σ = 194400. Its totient is φ = 14976.

The previous prime is 57223. The next prime is 57241. The reversal of 57240 is 4275.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57241) by changing a digit.

57240 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, 1054 + ... + 1106.

2⁵⁷²⁴⁰ is an apocalyptic number.

57240 is the 120-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

57240 is an abundant number, since it is smaller than the sum of its proper divisors (137160).

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

57240 is a wasteful number, since it uses less digits than its factorization.

57240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57240 is about 239.2488244485. The cubic root of 57240 is about 38.5389497314.

The spelling of 57240 in words is "fifty-seven thousand, two hundred forty".