272724816 has 160 divisors (see below), whose sum is σ = 897442560. Its totient is φ = 69414912.

The previous prime is 272724779. The next prime is 272724821. The reversal of 272724816 is 618427272.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125596 + ... + 127748.

It is an arithmetic number, because the mean of its divisors is an integer number (5609016).

Almost surely, 2^272724816 is an apocalyptic number.

272724816 is a gapful number since it is divisible by the number (26) 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 272724816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448721280).

272724816 is an abundant number, since it is smaller than the sum of its proper divisors (624717744).

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

272724816 is a wasteful number, since it uses less digits than its factorization.

272724816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2207 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 272724816 is about 16514.3820956159. The cubic root of 272724816 is about 648.4973700149.

The spelling of 272724816 in words is "two hundred seventy-two million, seven hundred twenty-four thousand, eight hundred sixteen".