72096120 has 96 divisors (see below), whose sum is σ = 239353920. Its totient is φ = 18812160.

The previous prime is 72096119. The next prime is 72096121. The reversal of 72096120 is 2169027.

It is an interprime number because it is at equal distance from previous prime (72096119) and next prime (72096121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72096121) 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 23 ways as a sum of consecutive naturals, for example, 14790 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (2493270).

Almost surely, 2^72096120 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 72096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119676960).

72096120 is an abundant number, since it is smaller than the sum of its proper divisors (167257800).

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

72096120 is a wasteful number, since it uses less digits than its factorization.

72096120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72096120 is about 8490.9434104815. The cubic root of 72096120 is about 416.2018097500.

The spelling of 72096120 in words is "seventy-two million, ninety-six thousand, one hundred twenty".