72353633 has 16 divisors (see below), whose sum is σ = 81043200. Its totient is φ = 64032000.

The previous prime is 72353629. The next prime is 72353657. The reversal of 72353633 is 33635327.

It is a cyclic number.

It is not a de Polignac number, because 72353633 - 2² = 72353629 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72353633.

It is not an unprimeable number, because it can be changed into a prime (72353663) 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, 180233 + ... + 180633.

It is an arithmetic number, because the mean of its divisors is an integer number (5065200).

Almost surely, 2^72353633 is an apocalyptic number.

It is an amenable number.

72353633 is a deficient number, since it is larger than the sum of its proper divisors (8689567).

72353633 is a wasteful number, since it uses less digits than its factorization.

72353633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its digits is 34020, while the sum is 32.

The square root of 72353633 is about 8506.0938743938. The cubic root of 72353633 is about 416.6967509656.

The spelling of 72353633 in words is "seventy-two million, three hundred fifty-three thousand, six hundred thirty-three".