72962145360496 has 120 divisors (see below), whose sum is σ = 169289640442176. Its totient is φ = 30352097502720.

The previous prime is 72962145360491. The next prime is 72962145360551. The reversal of 72962145360496 is 69406354126927.

It is a super-2 number, since 2×72962145360496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72962145360491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9225145 + ... + 15199591.

Almost surely, 2^{72962145360496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72962145360496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84644820221088).

72962145360496 is an abundant number, since it is smaller than the sum of its proper divisors (96327495081680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72962145360496 is a wasteful number, since it uses less digits than its factorization.

72962145360496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974927 (or 5974914 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

The spelling of 72962145360496 in words is "seventy-two trillion, nine hundred sixty-two billion, one hundred forty-five million, three hundred sixty thousand, four hundred ninety-six".