72291139200 has 1344 divisors, whose sum is σ = 323487777600. Its totient is φ = 15586836480.

The previous prime is 72291139183. The next prime is 72291139229. The reversal of 72291139200 is 293119227.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×72291139200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 310262284 + ... + 310262516.

Almost surely, 2^72291139200 is an apocalyptic number.

72291139200 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 72291139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161743888800).

72291139200 is an abundant number, since it is smaller than the sum of its proper divisors (251196638400).

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

72291139200 is a wasteful number, since it uses less digits than its factorization.

72291139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 72291139200 in words is "seventy-two billion, two hundred ninety-one million, one hundred thirty-nine thousand, two hundred".