272680020 has 144 divisors (see below), whose sum is σ = 903215040. Its totient is φ = 68864256.

The previous prime is 272680003. The next prime is 272680033. The reversal of 272680020 is 20086272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 90864 + ... + 93816.

Almost surely, 2^272680020 is an apocalyptic number.

272680020 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 272680020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451607520).

272680020 is an abundant number, since it is smaller than the sum of its proper divisors (630535020).

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

272680020 is a wasteful number, since it uses less digits than its factorization.

272680020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272680020 is about 16513.0257675570. The cubic root of 272680020 is about 648.4618620875.

The spelling of 272680020 in words is "two hundred seventy-two million, six hundred eighty thousand, twenty".