72031737606400 has 432 divisors, whose sum is σ = 213411558911040. Its totient is φ = 23722271539200.

The previous prime is 72031737606391. The next prime is 72031737606401. The reversal of 72031737606400 is 460673713027.

It is not an unprimeable number, because it can be changed into a prime (72031737606401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47763091 + ... + 49248109.

It is an arithmetic number, because the mean of its divisors is an integer number (494008238220).

Almost surely, 2^{72031737606400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72031737606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106705779455520).

72031737606400 is an abundant number, since it is smaller than the sum of its proper divisors (141379821304640).

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

72031737606400 is a wasteful number, since it uses less digits than its factorization.

72031737606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485122 (or 1485103 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 46.

The spelling of 72031737606400 in words is "seventy-two trillion, thirty-one billion, seven hundred thirty-seven million, six hundred six thousand, four hundred".