72607347 has 20 divisors (see below), whose sum is σ = 110308440. Its totient is φ = 47581344.

The previous prime is 72607331. The next prime is 72607361. The reversal of 72607347 is 74370627.

72607347 is a `hidden beast` number, since 7 + 2 + 607 + 3 + 47 = 666.

It is not a de Polignac number, because 72607347 - 2⁴ = 72607331 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 (72607147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2818 + ... + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (5515422).

Almost surely, 2^72607347 is an apocalyptic number.

72607347 is a deficient number, since it is larger than the sum of its proper divisors (37701093).

72607347 is a wasteful number, since it uses less digits than its factorization.

72607347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15264 (or 15255 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 72607347 is about 8520.9944842137. The cubic root of 72607347 is about 417.1832433097.

The spelling of 72607347 in words is "seventy-two million, six hundred seven thousand, three hundred forty-seven".