72096840 has 96 divisors (see below), whose sum is σ = 235497600. Its totient is φ = 19128960.

The previous prime is 72096823. The next prime is 72096863. The reversal of 72096840 is 4869027.

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

It is a junction number, because it is equal to n+sod(n) for n = 72096795 and 72096804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97191 + ... + 97929.

It is an arithmetic number, because the mean of its divisors is an integer number (2453100).

Almost surely, 2^72096840 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 72096840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117748800).

72096840 is an abundant number, since it is smaller than the sum of its proper divisors (163400760).

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

72096840 is a wasteful number, since it uses less digits than its factorization.

72096840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72096840 is about 8490.9858084913. The cubic root of 72096840 is about 416.2031952351.

The spelling of 72096840 in words is "seventy-two million, ninety-six thousand, eight hundred forty".