72735 has 16 divisors (see below), whose sum is σ = 125664. Its totient is φ = 35712.

The previous prime is 72733. The next prime is 72739. The reversal of 72735 is 53727.

It is not a de Polignac number, because 72735 - 2¹ = 72733 is a prime.

It is an Ulam number.

72735 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (7854).

2⁷²⁷³⁵ is an apocalyptic number.

72735 is a deficient number, since it is larger than the sum of its proper divisors (52929).

72735 is a wasteful number, since it uses less digits than its factorization.

72735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

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

The square root of 72735 is about 269.6942713518. The cubic root of 72735 is about 41.7427587331.

The spelling of 72735 in words is "seventy-two thousand, seven hundred thirty-five".