273972720 has 120 divisors (see below), whose sum is σ = 988021584. Its totient is φ = 62619648.

The previous prime is 273972719. The next prime is 273972733. The reversal of 273972720 is 27279372.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×273972720² = 150122102608396800, which 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 23 ways as a sum of consecutive naturals, for example, 112 + ... + 23408.

Almost surely, 2^273972720 is an apocalyptic number.

273972720 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 273972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494010792).

273972720 is an abundant number, since it is smaller than the sum of its proper divisors (714048864).

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

273972720 is a wasteful number, since it uses less digits than its factorization.

273972720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23327 (or 23314 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 273972720 is about 16552.1213142002. The cubic root of 273972720 is about 649.4849726967.

The spelling of 273972720 in words is "two hundred seventy-three million, nine hundred seventy-two thousand, seven hundred twenty".