72223267634000 has 160 divisors (see below), whose sum is σ = 202855709951232. Its totient is φ = 24356324160000.

The previous prime is 72223267633999. The next prime is 72223267634003. The reversal of 72223267634000 is 43676232227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72223267634003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41431286 + ... + 43139285.

Almost surely, 2^{72223267634000} is an apocalyptic number.

72223267634000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72223267634000 is an abundant number, since it is smaller than the sum of its proper divisors (130632442317232).

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

72223267634000 is a wasteful number, since it uses less digits than its factorization.

72223267634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84570662 (or 84570646 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 44.

The spelling of 72223267634000 in words is "seventy-two trillion, two hundred twenty-three billion, two hundred sixty-seven million, six hundred thirty-four thousand".