72567789840 has 1920 divisors, whose sum is σ = 349417635840. Its totient is φ = 13544423424.

The previous prime is 72567789781. The next prime is 72567789841. The reversal of 72567789840 is 4898776527.

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 (72567789841) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 571399857 + ... + 571399983.

It is an arithmetic number, because the mean of its divisors is an integer number (181988352).

Almost surely, 2^72567789840 is an apocalyptic number.

72567789840 is a gapful number since it is divisible by the number (70) 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 72567789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).

72567789840 is an abundant number, since it is smaller than the sum of its proper divisors (276849846000).

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

72567789840 is a wasteful number, since it uses less digits than its factorization.

72567789840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 72567789840 in words is "seventy-two billion, five hundred sixty-seven million, seven hundred eighty-nine thousand, eight hundred forty".