72148162320 has 320 divisors, whose sum is σ = 273854972160. Its totient is φ = 17346244608.

The previous prime is 72148162309. The next prime is 72148162381. The reversal of 72148162320 is 2326184127.

It is a happy number.

72148162320 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 8 + 1 + 623 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1177564 + ... + 1237316.

It is an arithmetic number, because the mean of its divisors is an integer number (855796788).

Almost surely, 2^72148162320 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 72148162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136927486080).

72148162320 is an abundant number, since it is smaller than the sum of its proper divisors (201706809840).

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

72148162320 is a wasteful number, since it uses less digits than its factorization.

72148162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59831 (or 59819 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 72148162320 in words is "seventy-two billion, one hundred forty-eight million, one hundred sixty-two thousand, three hundred twenty".