72526 has 4 divisors (see below), whose sum is σ = 108792. Its totient is φ = 36262.

The previous prime is 72503. The next prime is 72533. The reversal of 72526 is 62527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 62527 = 31 ⋅2017.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 72497 and 72506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18130 + ... + 18133.

It is an arithmetic number, because the mean of its divisors is an integer number (27198).

2⁷²⁵²⁶ is an apocalyptic number.

72526 is a deficient number, since it is larger than the sum of its proper divisors (36266).

72526 is a wasteful number, since it uses less digits than its factorization.

72526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36265.

The product of its digits is 840, while the sum is 22.

The square root of 72526 is about 269.3065168168. The cubic root of 72526 is about 41.7027385404.

Subtracting from 72526 its reverse (62527), we obtain a palindrome (9999).

The spelling of 72526 in words is "seventy-two thousand, five hundred twenty-six".