72812839680 has 1728 divisors, whose sum is σ = 331069132800. Its totient is φ = 15049359360.

The previous prime is 72812839643. The next prime is 72812839709. The reversal of 72812839680 is 8693821827.

It is a happy number.

72812839680 is a `hidden beast` number, since 7 + 281 + 283 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 997436124 + ... + 997436196.

Almost surely, 2^72812839680 is an apocalyptic number.

72812839680 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 72812839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165534566400).

72812839680 is an abundant number, since it is smaller than the sum of its proper divisors (258256293120).

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

72812839680 is a wasteful number, since it uses less digits than its factorization.

72812839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 72812839680 in words is "seventy-two billion, eight hundred twelve million, eight hundred thirty-nine thousand, six hundred eighty".