72057633 has 16 divisors (see below), whose sum is σ = 101387520. Its totient is φ = 45395856.

The previous prime is 72057631. The next prime is 72057649. The reversal of 72057633 is 33675027.

It is not a de Polignac number, because 72057633 - 2¹ = 72057631 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72057594 and 72057603.

It is not an unprimeable number, because it can be changed into a prime (72057631) 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, 25266 + ... + 27972.

It is an arithmetic number, because the mean of its divisors is an integer number (6336720).

Almost surely, 2^72057633 is an apocalyptic number.

It is an amenable number.

72057633 is a deficient number, since it is larger than the sum of its proper divisors (29329887).

72057633 is a wasteful number, since it uses less digits than its factorization.

72057633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196.

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 72057633 is about 8488.6767520032. The cubic root of 72057633 is about 416.1277363682.

The spelling of 72057633 in words is "seventy-two million, fifty-seven thousand, six hundred thirty-three".