72173372174442 has 288 divisors, whose sum is σ = 201518449606656. Its totient is φ = 18265156240320.

The previous prime is 72173372174437. The next prime is 72173372174447. The reversal of 72173372174442 is 24447127337127.

72173372174442 is a `hidden beast` number, since 7 + 2 + 17 + 337 + 217 + 44 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (72173372174437) and next prime (72173372174447).

It is a super-2 number, since 2×72173372174442² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72173372174447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159567493 + ... + 160019159.

It is an arithmetic number, because the mean of its divisors is an integer number (699716838912).

Almost surely, 2^{72173372174442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72173372174442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759224803328).

72173372174442 is an abundant number, since it is smaller than the sum of its proper divisors (129345077432214).

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

72173372174442 is a wasteful number, since it uses less digits than its factorization.

72173372174442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451974 (or 451960 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 54.

The spelling of 72173372174442 in words is "seventy-two trillion, one hundred seventy-three billion, three hundred seventy-two million, one hundred seventy-four thousand, four hundred forty-two".