72135007 has 6 divisors (see below), whose sum is σ = 83912208. Its totient is φ = 61829964.

The previous prime is 72134999. The next prime is 72135053. The reversal of 72135007 is 70053127.

It is not a de Polignac number, because 72135007 - 2³ = 72134999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72135307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736023 + ... + 736120.

It is an arithmetic number, because the mean of its divisors is an integer number (13985368).

Almost surely, 2^72135007 is an apocalyptic number.

72135007 is a deficient number, since it is larger than the sum of its proper divisors (11777201).

72135007 is a wasteful number, since it uses less digits than its factorization.

72135007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472157 (or 1472150 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 72135007 is about 8493.2330122280. The cubic root of 72135007 is about 416.2766262160.

The spelling of 72135007 in words is "seventy-two million, one hundred thirty-five thousand, seven".