72753 has 4 divisors (see below), whose sum is σ = 97008. Its totient is φ = 48500.

The previous prime is 72739. The next prime is 72763. The reversal of 72753 is 35727.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35727 = 3 ⋅11909.

It is a cyclic number.

It is not a de Polignac number, because 72753 - 2⁶ = 72689 is a prime.

It is a D-number.

72753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12123 + ... + 12128.

It is an arithmetic number, because the mean of its divisors is an integer number (24252).

2⁷²⁷⁵³ is an apocalyptic number.

It is an amenable number.

72753 is a deficient number, since it is larger than the sum of its proper divisors (24255).

72753 is a wasteful number, since it uses less digits than its factorization.

72753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254.

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

The square root of 72753 is about 269.7276404079. The cubic root of 72753 is about 41.7462018608.

It can be divided in two parts, 727 and 53, that added together give a triangular number (780 = T₃₉).

The spelling of 72753 in words is "seventy-two thousand, seven hundred fifty-three".