72048878332704 has 432 divisors, whose sum is σ = 256935885216192. Its totient is φ = 18982523943936.

The previous prime is 72048878332687. The next prime is 72048878332723. The reversal of 72048878332704 is 40723387884027.

It is a happy number.

72048878332704 is a `hidden beast` number, since 7 + 2 + 0 + 488 + 7 + 83 + 3 + 2 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180137487 + ... + 180537009.

It is an arithmetic number, because the mean of its divisors is an integer number (594758993556).

Almost surely, 2^{72048878332704} 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 72048878332704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128467942608096).

72048878332704 is an abundant number, since it is smaller than the sum of its proper divisors (184887006883488).

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

72048878332704 is a wasteful number, since it uses less digits than its factorization.

72048878332704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400549 (or 400531 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 72048878332704 in words is "seventy-two trillion, forty-eight billion, eight hundred seventy-eight million, three hundred thirty-two thousand, seven hundred four".