72018223200 has 2304 divisors, whose sum is σ = 356377190400. Its totient is φ = 13586227200.

The previous prime is 72018223177. The next prime is 72018223201. The reversal of 72018223200 is 232281027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72018223201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1358834374 + ... + 1358834426.

It is an arithmetic number, because the mean of its divisors is an integer number (154677600).

Almost surely, 2^72018223200 is an apocalyptic number.

72018223200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72018223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188595200).

72018223200 is an abundant number, since it is smaller than the sum of its proper divisors (284358967200).

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

72018223200 is a wasteful number, since it uses less digits than its factorization.

72018223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 72018223200 in words is "seventy-two billion, eighteen million, two hundred twenty-three thousand, two hundred".