10072701072 has 180 divisors, whose sum is σ = 32848897536. Its totient is φ = 2872920960.

The previous prime is 10072701061. The next prime is 10072701091. The reversal of 10072701072 is 27010727001.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6427233 + ... + 6428799.

Almost surely, 2^10072701072 is an apocalyptic number.

10072701072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072701072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424448768).

10072701072 is an abundant number, since it is smaller than the sum of its proper divisors (22776196464).

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

10072701072 is a wasteful number, since it uses less digits than its factorization.

10072701072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 10072701072 in words is "ten billion, seventy-two million, seven hundred one thousand, seventy-two".