120726540072 has 80 divisors (see below), whose sum is σ = 338464358100. Its totient is φ = 40204304640.

The previous prime is 120726540059. The next prime is 120726540073. The reversal of 120726540072 is 270045627021.

It is a happy number.

120726540072 is a `hidden beast` number, since 1 + 20 + 7 + 26 + 540 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110685297636 + 10041242436 = 332694^2 + 100206^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120726540073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 605572 + ... + 779852.

Almost surely, 2^120726540072 is an apocalyptic number.

120726540072 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 120726540072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169232179050).

120726540072 is an abundant number, since it is smaller than the sum of its proper divisors (217737818028).

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

120726540072 is a wasteful number, since it uses less digits than its factorization.

120726540072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175368 (or 175355 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 120726540072 in words is "one hundred twenty billion, seven hundred twenty-six million, five hundred forty thousand, seventy-two".