72053813 has 8 divisors (see below), whose sum is σ = 77817600. Its totient is φ = 66321648.

The previous prime is 72053801. The next prime is 72053843. The reversal of 72053813 is 31835027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72053813 - 2¹⁶ = 71988277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053843) 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 7 ways as a sum of consecutive naturals, for example, 3053 + ... + 12386.

It is an arithmetic number, because the mean of its divisors is an integer number (9727200).

Almost surely, 2^72053813 is an apocalyptic number.

It is an amenable number.

72053813 is a deficient number, since it is larger than the sum of its proper divisors (5763787).

72053813 is a wasteful number, since it uses less digits than its factorization.

72053813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72053813 is about 8488.4517433982. The cubic root of 72053813 is about 416.1203828283.

The spelling of 72053813 in words is "seventy-two million, fifty-three thousand, eight hundred thirteen".