72878671152 has 240 divisors, whose sum is σ = 248181740352. Its totient is φ = 19488522240.

The previous prime is 72878671133. The next prime is 72878671189. The reversal of 72878671152 is 25117687827.

It is a super-2 number, since 2×72878671152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3089868 + ... + 3113364.

Almost surely, 2^72878671152 is an apocalyptic number.

72878671152 is a gapful number since it is divisible by the number (72) 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 72878671152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124090870176).

72878671152 is an abundant number, since it is smaller than the sum of its proper divisors (175303069200).

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

72878671152 is a wasteful number, since it uses less digits than its factorization.

72878671152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23716 (or 23707 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 54.

The spelling of 72878671152 in words is "seventy-two billion, eight hundred seventy-eight million, six hundred seventy-one thousand, one hundred fifty-two".