72573 has 8 divisors (see below), whose sum is σ = 102528. Its totient is φ = 45504.

The previous prime is 72559. The next prime is 72577. The reversal of 72573 is 37527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72573 - 2¹⁰ = 71549 is a prime.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (12816).

2⁷²⁵⁷³ is an apocalyptic number.

It is an amenable number.

72573 is a deficient number, since it is larger than the sum of its proper divisors (29955).

72573 is a wasteful number, since it uses less digits than its factorization.

72573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443.

The product of its digits is 1470, while the sum is 24.

The square root of 72573 is about 269.3937638476. The cubic root of 72573 is about 41.7117449909.

It can be divided in two parts, 7257 and 3, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 72573 in words is "seventy-two thousand, five hundred seventy-three".