72786386880 has 336 divisors, whose sum is σ = 253127463264. Its totient is φ = 19196190720.

The previous prime is 72786386857. The next prime is 72786386899. The reversal of 72786386880 is 8868368727.

It is a super-2 number, since 2×72786386880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172889070 + ... + 172889490.

Almost surely, 2^72786386880 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 72786386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126563731632).

72786386880 is an abundant number, since it is smaller than the sum of its proper divisors (180341076384).

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

72786386880 is a wasteful number, since it uses less digits than its factorization.

72786386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 72786386880 in words is "seventy-two billion, seven hundred eighty-six million, three hundred eighty-six thousand, eight hundred eighty".