72045 has 12 divisors (see below), whose sum is σ = 124956. Its totient is φ = 38400.

The previous prime is 72043. The next prime is 72047. The reversal of 72045 is 54027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72043) and next prime (72047).

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 15876 = 237^2 + 126^2 .

It is not a de Polignac number, because 72045 - 2¹ = 72043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (10413).

2⁷²⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

72045 is a deficient number, since it is larger than the sum of its proper divisors (52911).

72045 is a wasteful number, since it uses less digits than its factorization.

72045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1609 counting only the distinct ones).

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

The square root of 72045 is about 268.4119967513. The cubic root of 72045 is about 41.6103416720.

Subtracting from 72045 its sum of digits (18), we obtain a palindrome (72027).

It can be divided in two parts, 720 and 45, that multiplied together give a square (32400 = 180²).

The spelling of 72045 in words is "seventy-two thousand, forty-five".