72144207251 has 16 divisors (see below), whose sum is σ = 75757368960. Its totient is φ = 68630469120.

The previous prime is 72144207217. The next prime is 72144207299. The reversal of 72144207251 is 15270244127.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72144207251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72144207451) 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, 448775 + ... + 587951.

It is an arithmetic number, because the mean of its divisors is an integer number (4734835560).

Almost surely, 2^72144207251 is an apocalyptic number.

72144207251 is a deficient number, since it is larger than the sum of its proper divisors (3613161709).

72144207251 is a wasteful number, since it uses less digits than its factorization.

72144207251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139534.

The product of its (nonzero) digits is 31360, while the sum is 35.

The spelling of 72144207251 in words is "seventy-two billion, one hundred forty-four million, two hundred seven thousand, two hundred fifty-one".