72053817 has 16 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 43490000.

The previous prime is 72053801. The next prime is 72053843. The reversal of 72053817 is 71835027.

It is a cyclic number.

It is not a de Polignac number, because 72053817 - 2⁴ = 72053801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72053887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934 + ... + 12632.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2^72053817 is an apocalyptic number.

It is an amenable number.

72053817 is a deficient number, since it is larger than the sum of its proper divisors (33181383).

72053817 is a wasteful number, since it uses less digits than its factorization.

72053817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 72053817 is about 8488.4519790124. The cubic root of 72053817 is about 416.1203905285.

The spelling of 72053817 in words is "seventy-two million, fifty-three thousand, eight hundred seventeen".