272800248 has 128 divisors (see below), whose sum is σ = 821760000. Its totient is φ = 75358080.

The previous prime is 272800237. The next prime is 272800249. The reversal of 272800248 is 842008272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272800249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254658 + ... + 255726.

It is an arithmetic number, because the mean of its divisors is an integer number (6420000).

Almost surely, 2^272800248 is an apocalyptic number.

272800248 is a gapful number since it is divisible by the number (28) 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 272800248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410880000).

272800248 is an abundant number, since it is smaller than the sum of its proper divisors (548959752).

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

272800248 is a wasteful number, since it uses less digits than its factorization.

272800248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 272800248 is about 16516.6657652203. The cubic root of 272800248 is about 648.5571530409.

The spelling of 272800248 in words is "two hundred seventy-two million, eight hundred thousand, two hundred forty-eight".