72146382489600 has 576 divisors, whose sum is σ = 244511132785920. Its totient is φ = 18755341516800.

The previous prime is 72146382489521. The next prime is 72146382489637. The reversal of 72146382489600 is 698428364127.

It is a super-2 number, since 2×72146382489600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9969097182 + ... + 9969104418.

It is an arithmetic number, because the mean of its divisors is an integer number (424498494420).

Almost surely, 2^{72146382489600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72146382489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122255566392960).

72146382489600 is an abundant number, since it is smaller than the sum of its proper divisors (172364750296320).

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

72146382489600 is a wasteful number, since it uses less digits than its factorization.

72146382489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 72146382489600 in words is "seventy-two trillion, one hundred forty-six billion, three hundred eighty-two million, four hundred eighty-nine thousand, six hundred".