72970422260736 has 1408 divisors, whose sum is σ = 271549525524480. Its totient is φ = 16806179635200.

The previous prime is 72970422260717. The next prime is 72970422260797. The reversal of 72970422260736 is 63706222407927.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13250482495 + ... + 13250488001.

Almost surely, 2^{72970422260736} 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 72970422260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135774762762240).

72970422260736 is an abundant number, since it is smaller than the sum of its proper divisors (198579103263744).

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

72970422260736 is a wasteful number, since it uses less digits than its factorization.

72970422260736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 72970422260736 in words is "seventy-two trillion, nine hundred seventy billion, four hundred twenty-two million, two hundred sixty thousand, seven hundred thirty-six".