72864147 has 16 divisors (see below), whose sum is σ = 100592640. Its totient is φ = 46884672.

The previous prime is 72864139. The next prime is 72864151. The reversal of 72864147 is 74146827.

It is not a de Polignac number, because 72864147 - 2³ = 72864139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72864947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6754 + ... + 13832.

It is an arithmetic number, because the mean of its divisors is an integer number (6287040).

Almost surely, 2^72864147 is an apocalyptic number.

72864147 is a deficient number, since it is larger than the sum of its proper divisors (27728493).

72864147 is a wasteful number, since it uses less digits than its factorization.

72864147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202.

The product of its digits is 75264, while the sum is 39.

The square root of 72864147 is about 8536.0498475583. The cubic root of 72864147 is about 417.6745003036.

The spelling of 72864147 in words is "seventy-two million, eight hundred sixty-four thousand, one hundred forty-seven".