72210640392 has 108 divisors (see below), whose sum is σ = 215040597135. Its totient is φ = 21874411680.

The previous prime is 72210640391. The next prime is 72210640423. The reversal of 72210640392 is 29304601227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72210640392 is a `hidden beast` number, since 7 + 2 + 2 + 1 + 0 + 640 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36105320196 + 36105320196 = 190014^2 + 190014^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190014.

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

It is not an unprimeable number, because it can be changed into a prime (72210640391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25080409 + ... + 25083287.

Almost surely, 2^72210640392 is an apocalyptic number.

72210640392 is a gapful number since it is divisible by the number (72) 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 72210640392

72210640392 is an abundant number, since it is smaller than the sum of its proper divisors (142829956743).

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

72210640392 is a wasteful number, since it uses less digits than its factorization.

72210640392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72210640392 in words is "seventy-two billion, two hundred ten million, six hundred forty thousand, three hundred ninety-two".