72553 has 4 divisors (see below), whose sum is σ = 78148. Its totient is φ = 66960.

The previous prime is 72551. The next prime is 72559. The reversal of 72553 is 35527.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 56169 = 128^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 72553 - 2¹ = 72551 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2778 + ... + 2803.

It is an arithmetic number, because the mean of its divisors is an integer number (19537).

2⁷²⁵⁵³ is an apocalyptic number.

It is an amenable number.

72553 is a deficient number, since it is larger than the sum of its proper divisors (5595).

72553 is a wasteful number, since it uses less digits than its factorization.

72553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594.

The product of its digits is 1050, while the sum is 22.

The square root of 72553 is about 269.3566409057. The cubic root of 72553 is about 41.7079129342.

It can be divided in two parts, 72 and 553, that added together give a 4-th power (625 = 5⁴).

The spelling of 72553 in words is "seventy-two thousand, five hundred fifty-three".