72119783804928 has 208 divisors, whose sum is σ = 196164911220096. Its totient is φ = 23561062318080.

The previous prime is 72119783804903. The next prime is 72119783804963. The reversal of 72119783804928 is 82940838791127.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122475688 + ... + 123063128.

It is an arithmetic number, because the mean of its divisors is an integer number (943100534712).

Almost surely, 2^{72119783804928} 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 72119783804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98082455610048).

72119783804928 is an abundant number, since it is smaller than the sum of its proper divisors (124045127415168).

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

72119783804928 is a wasteful number, since it uses less digits than its factorization.

72119783804928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587668 (or 587646 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 69.

The spelling of 72119783804928 in words is "seventy-two trillion, one hundred nineteen billion, seven hundred eighty-three million, eight hundred four thousand, nine hundred twenty-eight".