72195840 has 144 divisors (see below), whose sum is σ = 256317600. Its totient is φ = 19243008.

The previous prime is 72195833. The next prime is 72195857. The reversal of 72195840 is 4859127.

72195840 is a `hidden beast` number, since 72 + 1 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 72195795 and 72195804.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33516 + ... + 35604.

Almost surely, 2^72195840 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 72195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128158800).

72195840 is an abundant number, since it is smaller than the sum of its proper divisors (184121760).

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

72195840 is a wasteful number, since it uses less digits than its factorization.

72195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 72195840 is about 8496.8135203734. The cubic root of 72195840 is about 416.3936116752.

The spelling of 72195840 in words is "seventy-two million, one hundred ninety-five thousand, eight hundred forty".