72293000160 has 192 divisors, whose sum is σ = 237972349440. Its totient is φ = 18412922880.

The previous prime is 72293000147. The next prime is 72293000167. The reversal of 72293000160 is 6100039227.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72293000167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154130 + ... + 8162990.

It is an arithmetic number, because the mean of its divisors is an integer number (1239439320).

Almost surely, 2^72293000160 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 72293000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118986174720).

72293000160 is an abundant number, since it is smaller than the sum of its proper divisors (165679349280).

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

72293000160 is a wasteful number, since it uses less digits than its factorization.

72293000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

Adding to 72293000160 its reverse (6100039227), we get a palindrome (78393039387).

The spelling of 72293000160 in words is "seventy-two billion, two hundred ninety-three million, one hundred sixty", and thus it is an aban number.