72673406400 has 168 divisors, whose sum is σ = 272490793600. Its totient is φ = 16611056640.

The previous prime is 72673406381. The next prime is 72673406419. The reversal of 72673406400 is 460437627.

It is an interprime number because it is at equal distance from previous prime (72673406381) and next prime (72673406419).

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 1047850 + ... + 1115049.

Almost surely, 2^72673406400 is an apocalyptic number.

72673406400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72673406400 is an abundant number, since it is smaller than the sum of its proper divisors (199817387200).

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

72673406400 is a wasteful number, since it uses less digits than its factorization.

72673406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162931 (or 2162916 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 72673406400 in words is "seventy-two billion, six hundred seventy-three million, four hundred six thousand, four hundred".