272816820 has 144 divisors (see below), whose sum is σ = 877356480. Its totient is φ = 68428800.

The previous prime is 272816807. The next prime is 272816893. The reversal of 272816820 is 28618272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 824055 + ... + 824385.

Almost surely, 2^272816820 is an apocalyptic number.

272816820 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 272816820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438678240).

272816820 is an abundant number, since it is smaller than the sum of its proper divisors (604539660).

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

272816820 is a wasteful number, since it uses less digits than its factorization.

272816820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 272816820 is about 16517.1674327047. The cubic root of 272816820 is about 648.5702855700.

The spelling of 272816820 in words is "two hundred seventy-two million, eight hundred sixteen thousand, eight hundred twenty".