72787341312 has 624 divisors, whose sum is σ = 257985308672. Its totient is φ = 20065812480.

The previous prime is 72787341307. The next prime is 72787341331. The reversal of 72787341312 is 21314378727.

72787341312 is a `hidden beast` number, since 7 + 278 + 7 + 341 + 31 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 215986008 + ... + 215986344.

Almost surely, 2^72787341312 is an apocalyptic number.

72787341312 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 72787341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128992654336).

72787341312 is an abundant number, since it is smaller than the sum of its proper divisors (185197967360).

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

72787341312 is an equidigital number, since it uses as much as digits as its factorization.

72787341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 380 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 72787341312 in words is "seventy-two billion, seven hundred eighty-seven million, three hundred forty-one thousand, three hundred twelve".