72891081900 has 1296 divisors, whose sum is σ = 315414249696. Its totient is φ = 14422302720.

The previous prime is 72891081881. The next prime is 72891081997. The reversal of 72891081900 is 918019827.

It is a super-2 number, since 2×72891081900² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 263144562 + ... + 263144838.

Almost surely, 2^72891081900 is an apocalyptic number.

72891081900 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 72891081900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157707124848).

72891081900 is an abundant number, since it is smaller than the sum of its proper divisors (242523167796).

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

72891081900 is a wasteful number, since it uses less digits than its factorization.

72891081900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 72891081900 in words is "seventy-two billion, eight hundred ninety-one million, eighty-one thousand, nine hundred".