72851643 has 48 divisors (see below), whose sum is σ = 118809600. Its totient is φ = 44439840.

The previous prime is 72851641. The next prime is 72851657. The reversal of 72851643 is 34615827.

72851643 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 1 + 643 = 666.

It is not a de Polignac number, because 72851643 - 2¹ = 72851641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72851598 and 72851607.

It is not an unprimeable number, because it can be changed into a prime (72851641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142873 + ... + 143381.

It is an arithmetic number, because the mean of its divisors is an integer number (2475200).

Almost surely, 2^72851643 is an apocalyptic number.

72851643 is a deficient number, since it is larger than the sum of its proper divisors (45957957).

72851643 is a wasteful number, since it uses less digits than its factorization.

72851643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72851643 is about 8535.3173930440. The cubic root of 72851643 is about 417.6506069763.

The spelling of 72851643 in words is "seventy-two million, eight hundred fifty-one thousand, six hundred forty-three".