120072810 has 96 divisors (see below), whose sum is σ = 340573248. Its totient is φ = 26856960.

The previous prime is 120072781. The next prime is 120072817. The reversal of 120072810 is 18270021.

It is a super-2 number, since 2×120072810² = 28834959402592200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120072817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54694 + ... + 56846.

It is an arithmetic number, because the mean of its divisors is an integer number (3547638).

Almost surely, 2^120072810 is an apocalyptic number.

120072810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120072810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170286624).

120072810 is an abundant number, since it is smaller than the sum of its proper divisors (220500438).

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

120072810 is a wasteful number, since it uses less digits than its factorization.

120072810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 120072810 is about 10957.7739527698. The cubic root of 120072810 is about 493.3421529752.

The spelling of 120072810 in words is "one hundred twenty million, seventy-two thousand, eight hundred ten".