72522 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 22464.

The previous prime is 72503. The next prime is 72533. The reversal of 72522 is 22527.

It is a happy number.

72522 is nontrivially palindromic in base 8.

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

It is a junction number, because it is equal to n+sod(n) for n = 72495 and 72504.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷²⁵²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

72522 is an abundant number, since it is smaller than the sum of its proper divisors (100278).

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

72522 is a wasteful number, since it uses less digits than its factorization.

72522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

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

The square root of 72522 is about 269.2990902324. The cubic root of 72522 is about 41.7019718544.

It can be divided in two parts, 725 and 22, that added together give a palindrome (747).

The spelling of 72522 in words is "seventy-two thousand, five hundred twenty-two".