72046935 has 32 divisors (see below), whose sum is σ = 135622080. Its totient is φ = 36163584.

The previous prime is 72046927. The next prime is 72046937. The reversal of 72046935 is 53964027.

It is not a de Polignac number, because 72046935 - 2³ = 72046927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72046935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72046937) 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, 13402 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (4238190).

Almost surely, 2^72046935 is an apocalyptic number.

72046935 is a deficient number, since it is larger than the sum of its proper divisors (63575145).

72046935 is a wasteful number, since it uses less digits than its factorization.

72046935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31424 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72046935 is about 8488.0465950653. The cubic root of 72046935 is about 416.1071419511.

The spelling of 72046935 in words is "seventy-two million, forty-six thousand, nine hundred thirty-five".