72146628224 has 64 divisors (see below), whose sum is σ = 156948624000. Its totient is φ = 32761989120.

The previous prime is 72146628223. The next prime is 72146628233. The reversal of 72146628224 is 42282664127.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (72146628223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452569 + ... + 1501415.

It is an arithmetic number, because the mean of its divisors is an integer number (2452322250).

Almost surely, 2^72146628224 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 72146628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78474312000).

72146628224 is an abundant number, since it is smaller than the sum of its proper divisors (84801995776).

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

72146628224 is a wasteful number, since it uses less digits than its factorization.

72146628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49921 (or 49909 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The spelling of 72146628224 in words is "seventy-two billion, one hundred forty-six million, six hundred twenty-eight thousand, two hundred twenty-four".