72906363 has 12 divisors (see below), whose sum is σ = 110852040. Its totient is φ = 46046016.

The previous prime is 72906349. The next prime is 72906367. The reversal of 72906363 is 36360927.

72906363 is a `hidden beast` number, since 7 + 290 + 6 + 363 = 666.

It is not a de Polignac number, because 72906363 - 2⁶ = 72906299 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72906367) 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, 213006 + ... + 213347.

It is an arithmetic number, because the mean of its divisors is an integer number (9237670).

Almost surely, 2^72906363 is an apocalyptic number.

72906363 is a deficient number, since it is larger than the sum of its proper divisors (37945677).

72906363 is a wasteful number, since it uses less digits than its factorization.

72906363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426378 (or 426375 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 72906363 is about 8538.5222960416. The cubic root of 72906363 is about 417.7551487579.

The spelling of 72906363 in words is "seventy-two million, nine hundred six thousand, three hundred sixty-three".