72075961 has 12 divisors (see below), whose sum is σ = 75070800. Its totient is φ = 69195720.

The previous prime is 72075943. The next prime is 72076007. The reversal of 72075961 is 16957027.

It is not a de Polignac number, because 72075961 - 2¹¹ = 72073913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72075961.

It is not an unprimeable number, because it can be changed into a prime (72075931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171810 + ... + 172228.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^72075961 is an apocalyptic number.

It is an amenable number.

72075961 is a deficient number, since it is larger than the sum of its proper divisors (2994839).

72075961 is a wasteful number, since it uses less digits than its factorization.

72075961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 72075961 is about 8489.7562391390. The cubic root of 72075961 is about 416.1630143455.

The spelling of 72075961 in words is "seventy-two million, seventy-five thousand, nine hundred sixty-one".