72057643 has 16 divisors (see below), whose sum is σ = 87123456. Its totient is φ = 58259520.

The previous prime is 72057631. The next prime is 72057649. The reversal of 72057643 is 34675027.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72057643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72057599 and 72057608.

It is not an unprimeable number, because it can be changed into a prime (72057649) 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, 8688 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (5445216).

Almost surely, 2^72057643 is an apocalyptic number.

72057643 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

72057643 is a deficient number, since it is larger than the sum of its proper divisors (15065813).

72057643 is a wasteful number, since it uses less digits than its factorization.

72057643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234.

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72057643 is about 8488.6773410232. The cubic root of 72057643 is about 416.1277556180.

The spelling of 72057643 in words is "seventy-two million, fifty-seven thousand, six hundred forty-three".