272605917840 has 160 divisors (see below), whose sum is σ = 850619128320. Its totient is φ = 72219721728.

The previous prime is 272605917823. The next prime is 272605917841. The reversal of 272605917840 is 48719506272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (272605917841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25885696 + ... + 25896224.

It is an arithmetic number, because the mean of its divisors is an integer number (5316369552).

Almost surely, 2^272605917840 is an apocalyptic number.

272605917840 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 272605917840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425309564160).

272605917840 is an abundant number, since it is smaller than the sum of its proper divisors (578013210480).

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

272605917840 is a wasteful number, since it uses less digits than its factorization.

272605917840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11241 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 272605917840 in words is "two hundred seventy-two billion, six hundred five million, nine hundred seventeen thousand, eight hundred forty".