72137721253 has 16 divisors (see below), whose sum is σ = 78883652736. Its totient is φ = 65565218880.

The previous prime is 72137721223. The next prime is 72137721283. The reversal of 72137721253 is 35212773127.

It is an interprime number because it is at equal distance from previous prime (72137721223) and next prime (72137721283).

It is a cyclic number.

It is not a de Polignac number, because 72137721253 - 2⁵ = 72137721221 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 (72137721223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662926 + ... + 764032.

It is an arithmetic number, because the mean of its divisors is an integer number (4930228296).

Almost surely, 2^72137721253 is an apocalyptic number.

It is an amenable number.

72137721253 is a deficient number, since it is larger than the sum of its proper divisors (6745931483).

72137721253 is a wasteful number, since it uses less digits than its factorization.

72137721253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101964.

The product of its digits is 123480, while the sum is 40.

The spelling of 72137721253 in words is "seventy-two billion, one hundred thirty-seven million, seven hundred twenty-one thousand, two hundred fifty-three".