72046819623168 has 360 divisors, whose sum is σ = 232235918257728. Its totient is φ = 22083940528128.

The previous prime is 72046819623161. The next prime is 72046819623293. The reversal of 72046819623168 is 86132691864027.

72046819623168 is a `hidden beast` number, since 7 + 2 + 0 + 468 + 1 + 9 + 6 + 2 + 3 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (72046819623161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70388271 + ... + 71404497.

Almost surely, 2^{72046819623168} is an apocalyptic number.

72046819623168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72046819623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116117959128864).

72046819623168 is an abundant number, since it is smaller than the sum of its proper divisors (160189098634560).

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

72046819623168 is a wasteful number, since it uses less digits than its factorization.

72046819623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016531 (or 1016508 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 72046819623168 in words is "seventy-two trillion, forty-six billion, eight hundred nineteen million, six hundred twenty-three thousand, one hundred sixty-eight".