72192339394560 has 5760 divisors, whose sum is σ = 361797003509760. Its totient is φ = 12842119987200.

The previous prime is 72192339394547. The next prime is 72192339394621. The reversal of 72192339394560 is 6549393329127.

72192339394560 is a `hidden beast` number, since 7 + 2 + 1 + 9 + 2 + 3 + 39 + 39 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 568443617217 + ... + 568443617343.

It is an arithmetic number, because the mean of its divisors is an integer number (62811979776).

Almost surely, 2^{72192339394560} is an apocalyptic number.

72192339394560 is a gapful number since it is divisible by the number (70) 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 72192339394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180898501754880).

72192339394560 is an abundant number, since it is smaller than the sum of its proper divisors (289604664115200).

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

72192339394560 is a wasteful number, since it uses less digits than its factorization.

72192339394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 72192339394560 in words is "seventy-two trillion, one hundred ninety-two billion, three hundred thirty-nine million, three hundred ninety-four thousand, five hundred sixty".