70972974720 has 192 divisors, whose sum is σ = 247507102440. Its totient is φ = 18738585600.

The previous prime is 70972974719. The next prime is 70972974727. The reversal of 70972974720 is 2747927907.

It can be written as a sum of positive squares in 4 ways, for example, as 68648192064 + 2324782656 = 262008^2 + 48216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (70972974727) 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, 520762 + ... + 642758.

Almost surely, 2^70972974720 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 70972974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123753551220).

70972974720 is an abundant number, since it is smaller than the sum of its proper divisors (176534127720).

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

70972974720 is a wasteful number, since it uses less digits than its factorization.

70972974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122123 (or 122108 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

It can be divided in two parts, 7097297 and 4720, that added together give a palindrome (7102017).

The spelling of 70972974720 in words is "seventy billion, nine hundred seventy-two million, nine hundred seventy-four thousand, seven hundred twenty".