72613647 has 48 divisors (see below), whose sum is σ = 116093952. Its totient is φ = 43545600.

The previous prime is 72613643. The next prime is 72613663. The reversal of 72613647 is 74631627.

72613647 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 3 + 647 = 666.

It is not a de Polignac number, because 72613647 - 2² = 72613643 is a prime.

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

Its product of digits (42336) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571698 + ... + 571824.

It is an arithmetic number, because the mean of its divisors is an integer number (2418624).

Almost surely, 2^72613647 is an apocalyptic number.

72613647 is a deficient number, since it is larger than the sum of its proper divisors (43480305).

72613647 is a wasteful number, since it uses less digits than its factorization.

72613647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72613647 is about 8521.3641513551. The cubic root of 72613647 is about 417.1953090235.

The spelling of 72613647 in words is "seventy-two million, six hundred thirteen thousand, six hundred forty-seven".