72411795328392 has 960 divisors, whose sum is σ = 235722089433600. Its totient is φ = 20617487953920.

The previous prime is 72411795328387. The next prime is 72411795328399. The reversal of 72411795328392 is 29382359711427.

It is a happy number.

72411795328392 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 1 + 7 + 9 + 532 + 8 + 3 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (72411795328399) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21092860308 + ... + 21092863740.

It is an arithmetic number, because the mean of its divisors is an integer number (245543843160).

Almost surely, 2^{72411795328392} is an apocalyptic number.

72411795328392 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 72411795328392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117861044716800).

72411795328392 is an abundant number, since it is smaller than the sum of its proper divisors (163310294105208).

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

72411795328392 is a wasteful number, since it uses less digits than its factorization.

72411795328392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3578 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 72411795328392 in words is "seventy-two trillion, four hundred eleven billion, seven hundred ninety-five million, three hundred twenty-eight thousand, three hundred ninety-two".