272418048 has 324 divisors, whose sum is σ = 969346560. Its totient is φ = 73156608.

The previous prime is 272418031. The next prime is 272418059. The reversal of 272418048 is 840814272.

It is a super-2 number, since 2×272418048² = 148423185752260608, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2144961 + ... + 2145087.

Almost surely, 2^272418048 is an apocalyptic number.

272418048 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 272418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484673280).

272418048 is an abundant number, since it is smaller than the sum of its proper divisors (696928512).

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

272418048 is a wasteful number, since it uses less digits than its factorization.

272418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 272418048 is about 16505.0915780555. The cubic root of 272418048 is about 648.2541298616.

The spelling of 272418048 in words is "two hundred seventy-two million, four hundred eighteen thousand, forty-eight".