72679956048 has 400 divisors, whose sum is σ = 247444527616. Its totient is φ = 20163790080.

The previous prime is 72679956031. The next prime is 72679956073. The reversal of 72679956048 is 84065997627.

72679956048 is a `hidden beast` number, since 7 + 2 + 67 + 9 + 9 + 560 + 4 + 8 = 666.

It is a super-2 number, since 2×72679956048² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82309815 + ... + 82310697.

Almost surely, 2^72679956048 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 72679956048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123722263808).

72679956048 is an abundant number, since it is smaller than the sum of its proper divisors (174764571568).

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

72679956048 is a wasteful number, since it uses less digits than its factorization.

72679956048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 72679956048 in words is "seventy-two billion, six hundred seventy-nine million, nine hundred fifty-six thousand, forty-eight".