72140796 has 216 divisors, whose sum is σ = 240755424. Its totient is φ = 17729280.

The previous prime is 72140773. The next prime is 72140801. The reversal of 72140796 is 69704127.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72140796.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1182606 + ... + 1182666.

Almost surely, 2^72140796 is an apocalyptic number.

72140796 is a gapful number since it is divisible by the number (76) 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 72140796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

72140796 is an abundant number, since it is smaller than the sum of its proper divisors (168614628).

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

72140796 is a wasteful number, since it uses less digits than its factorization.

72140796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72140796 is about 8493.5738061195. The cubic root of 72140796 is about 416.2877616366.

The spelling of 72140796 in words is "seventy-two million, one hundred forty thousand, seven hundred ninety-six".