72735135 has 32 divisors (see below), whose sum is σ = 133643520. Its totient is φ = 33408000.

The previous prime is 72735079. The next prime is 72735139. The reversal of 72735135 is 53153727.

It is not a de Polignac number, because 72735135 - 2⁶ = 72735071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72735096 and 72735105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8466 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (4176360).

Almost surely, 2^72735135 is an apocalyptic number.

72735135 is a deficient number, since it is larger than the sum of its proper divisors (60908385).

72735135 is a wasteful number, since it uses less digits than its factorization.

72735135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23239.

The product of its digits is 22050, while the sum is 33.

The square root of 72735135 is about 8528.4896083656. The cubic root of 72735135 is about 417.4278455870.

The spelling of 72735135 in words is "seventy-two million, seven hundred thirty-five thousand, one hundred thirty-five".