272890800 has 720 divisors, whose sum is σ = 1259294400. Its totient is φ = 54190080.

The previous prime is 272890747. The next prime is 272890801. The reversal of 272890800 is 8098272.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (272890801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16052392 + ... + 16052408.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 2^272890800 is an apocalyptic number.

272890800 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 272890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629647200).

272890800 is an abundant number, since it is smaller than the sum of its proper divisors (986403600).

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

272890800 is a wasteful number, since it uses less digits than its factorization.

272890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 272890800 is about 16519.4067690096. The cubic root of 272890800 is about 648.6289047481.

It can be divided in two parts, 2728 and 90800, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 272890800 in words is "two hundred seventy-two million, eight hundred ninety thousand, eight hundred".