72675 has 36 divisors (see below), whose sum is σ = 145080. Its totient is φ = 34560.

The previous prime is 72673. The next prime is 72679. The reversal of 72675 is 57627.

It is not a de Polignac number, because 72675 - 2¹ = 72673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3816 + ... + 3834.

It is an arithmetic number, because the mean of its divisors is an integer number (4030).

2⁷²⁶⁷⁵ is an apocalyptic number.

72675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72675 is a deficient number, since it is larger than the sum of its proper divisors (72405).

72675 is a wasteful number, since it uses less digits than its factorization.

72675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 72675 is about 269.5830113342. The cubic root of 72675 is about 41.7312775364.

It can be divided in two parts, 72 and 675, that added together give a palindrome (747).

The spelling of 72675 in words is "seventy-two thousand, six hundred seventy-five".