272720 has 40 divisors (see below), whose sum is σ = 726144. Its totient is φ = 93312.

The previous prime is 272719. The next prime is 272737. The reversal of 272720 is 27272.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 272692 and 272701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 803.

2²⁷²⁷²⁰ is an apocalyptic number.

272720 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 272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363072).

272720 is an abundant number, since it is smaller than the sum of its proper divisors (453424).

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

272720 is a wasteful number, since it uses less digits than its factorization.

272720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 272720 is about 522.2260047144. The cubic root of 272720 is about 64.8493552758.

Adding to 272720 its reverse (27272), we get a palindrome (299992).

The spelling of 272720 in words is "two hundred seventy-two thousand, seven hundred twenty", and thus it is an iban number.