272723768640 has 448 divisors, whose sum is σ = 1027054080000. Its totient is φ = 67925329920.

The previous prime is 272723768627. The next prime is 272723768687. The reversal of 272723768640 is 46867327272.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11643661 + ... + 11667059.

Almost surely, 2^272723768640 is an apocalyptic number.

272723768640 is a gapful number since it is divisible by the number (20) 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 272723768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513527040000).

272723768640 is an abundant number, since it is smaller than the sum of its proper divisors (754330311360).

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

272723768640 is a wasteful number, since it uses less digits than its factorization.

272723768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515 (or 23499 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 272723768640 in words is "two hundred seventy-two billion, seven hundred twenty-three million, seven hundred sixty-eight thousand, six hundred forty".