72069981984 has 1152 divisors, whose sum is σ = 292919058432. Its totient is φ = 16826019840.

The previous prime is 72069981983. The next prime is 72069982007. The reversal of 72069981984 is 48918996027.

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

It is not an unprimeable number, because it can be changed into a prime (72069981983) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365837374 + ... + 365837570.

It is an arithmetic number, because the mean of its divisors is an integer number (254270016).

Almost surely, 2^72069981984 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 72069981984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146459529216).

72069981984 is an abundant number, since it is smaller than the sum of its proper divisors (220849076448).

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

72069981984 is a wasteful number, since it uses less digits than its factorization.

72069981984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 72069981984 in words is "seventy-two billion, sixty-nine million, nine hundred eighty-one thousand, nine hundred eighty-four".