72542 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 32472.

The previous prime is 72533. The next prime is 72547. The reversal of 72542 is 24527.

It is an Ulam number.

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 72542.

It is not an unprimeable number, because it can be changed into a prime (72547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 833 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁷²⁵⁴² is an apocalyptic number.

72542 is a deficient number, since it is larger than the sum of its proper divisors (48418).

72542 is a wasteful number, since it uses less digits than its factorization.

72542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its digits is 560, while the sum is 20.

The square root of 72542 is about 269.3362211066. The cubic root of 72542 is about 41.7058050028.

It can be divided in two parts, 725 and 42, that added together give a palindrome (767).

The spelling of 72542 in words is "seventy-two thousand, five hundred forty-two".