72037310038344 has 576 divisors, whose sum is σ = 236682810000000. Its totient is φ = 19711950483456.

The previous prime is 72037310038339. The next prime is 72037310038361. The reversal of 72037310038344 is 44383001373027.

72037310038344 is a `hidden beast` number, since 7 + 203 + 73 + 1 + 0 + 0 + 38 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72037310038344.

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 143 ways as a sum of consecutive naturals, for example, 6861344407 + ... + 6861354905.

It is an arithmetic number, because the mean of its divisors is an integer number (410907656250).

Almost surely, 2^{72037310038344} 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 72037310038344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118341405000000).

72037310038344 is an abundant number, since it is smaller than the sum of its proper divisors (164645499961656).

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

72037310038344 is a wasteful number, since it uses less digits than its factorization.

72037310038344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 72037310038344 in words is "seventy-two trillion, thirty-seven billion, three hundred ten million, thirty-eight thousand, three hundred forty-four".