72200289408 has 256 divisors, whose sum is σ = 224910000000. Its totient is φ = 20319731712.

The previous prime is 72200289323. The next prime is 72200289431. The reversal of 72200289408 is 80498200227.

It is a super-3 number, since 3×72200289408³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72200289408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2737468 + ... + 2763716.

Almost surely, 2^72200289408 is an apocalyptic number.

72200289408 is a gapful number since it is divisible by the number (78) 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 72200289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112455000000).

72200289408 is an abundant number, since it is smaller than the sum of its proper divisors (152709710592).

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

72200289408 is a wasteful number, since it uses less digits than its factorization.

72200289408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26327 (or 26315 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 72200289408 in words is "seventy-two billion, two hundred million, two hundred eighty-nine thousand, four hundred eight".