120400072 has 64 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 53146368.

The previous prime is 120400051. The next prime is 120400073. The reversal of 120400072 is 270004021.

It is not an unprimeable number, because it can be changed into a prime (120400073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257583 + ... + 258049.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^120400072 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 120400072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

120400072 is an abundant number, since it is smaller than the sum of its proper divisors (133555448).

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

120400072 is a wasteful number, since it uses less digits than its factorization.

120400072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 120400072 is about 10972.6966603474. The cubic root of 120400072 is about 493.7899526075.

Adding to 120400072 its reverse (270004021), we get a palindrome (390404093).

The spelling of 120400072 in words is "one hundred twenty million, four hundred thousand, seventy-two".