72132735 has 32 divisors (see below), whose sum is σ = 120512448. Its totient is φ = 36807680.

The previous prime is 72132713. The next prime is 72132737. The reversal of 72132735 is 53723127.

It is not a de Polignac number, because 72132735 - 2⁹ = 72132223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72132737) 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, 31489 + ... + 33701.

It is an arithmetic number, because the mean of its divisors is an integer number (3766014).

Almost surely, 2^72132735 is an apocalyptic number.

72132735 is a deficient number, since it is larger than the sum of its proper divisors (48379713).

72132735 is a wasteful number, since it uses less digits than its factorization.

72132735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315.

The product of its digits is 8820, while the sum is 30.

The square root of 72132735 is about 8493.0992576326. The cubic root of 72132735 is about 416.2722557517.

The spelling of 72132735 in words is "seventy-two million, one hundred thirty-two thousand, seven hundred thirty-five".