272611248 has 160 divisors (see below), whose sum is σ = 874944000. Its totient is φ = 71221248.

The previous prime is 272611243. The next prime is 272611253. The reversal of 272611248 is 842116272.

It is an interprime number because it is at equal distance from previous prime (272611243) and next prime (272611253).

It is a super-2 number, since 2×272611248² = 148633785072235008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (272611243) 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, 606928 + ... + 607376.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^272611248 is an apocalyptic number.

272611248 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 272611248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

272611248 is an abundant number, since it is smaller than the sum of its proper divisors (602332752).

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

272611248 is a wasteful number, since it uses less digits than its factorization.

272611248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 272611248 is about 16510.9432801400. The cubic root of 272611248 is about 648.4073418128.

The spelling of 272611248 in words is "two hundred seventy-two million, six hundred eleven thousand, two hundred forty-eight".