72114633 has 24 divisors (see below), whose sum is σ = 110990880. Its totient is φ = 44988480.

The previous prime is 72114631. The next prime is 72114661. The reversal of 72114633 is 33641127.

72114633 is a `hidden beast` number, since 7 + 21 + 1 + 4 + 633 = 666.

It is not a de Polignac number, because 72114633 - 2¹ = 72114631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72114597 and 72114606.

It is not an unprimeable number, because it can be changed into a prime (72114631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11653 + ... + 16733.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2^72114633 is an apocalyptic number.

It is an amenable number.

72114633 is a deficient number, since it is larger than the sum of its proper divisors (38876247).

72114633 is a wasteful number, since it uses less digits than its factorization.

72114633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5186 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 72114633 is about 8492.0335020536. The cubic root of 72114633 is about 416.2374311060.

The spelling of 72114633 in words is "seventy-two million, one hundred fourteen thousand, six hundred thirty-three".