120069792 has 72 divisors (see below), whose sum is σ = 345631104. Its totient is φ = 39533184.

The previous prime is 120069791. The next prime is 120069823. The reversal of 120069792 is 297960021.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120069791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21393 + ... + 26415.

It is an arithmetic number, because the mean of its divisors is an integer number (4800432).

Almost surely, 2^120069792 is an apocalyptic number.

120069792 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 120069792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172815552).

120069792 is an abundant number, since it is smaller than the sum of its proper divisors (225561312).

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

120069792 is a wasteful number, since it uses less digits than its factorization.

120069792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 120069792 is about 10957.6362414528. The cubic root of 120069792 is about 493.3380195967.

The spelling of 120069792 in words is "one hundred twenty million, sixty-nine thousand, seven hundred ninety-two".