272218440 has 192 divisors, whose sum is σ = 914941440. Its totient is φ = 64696320.

The previous prime is 272218411. The next prime is 272218451. The reversal of 272218440 is 44812272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 272218398 and 272218407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628464 + ... + 628896.

It is an arithmetic number, because the mean of its divisors is an integer number (4765320).

Almost surely, 2^272218440 is an apocalyptic number.

272218440 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 272218440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470720).

272218440 is an abundant number, since it is smaller than the sum of its proper divisors (642723000).

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

272218440 is a wasteful number, since it uses less digits than its factorization.

272218440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 272218440 is about 16499.0436086459. The cubic root of 272218440 is about 648.0957601203.

The spelling of 272218440 in words is "two hundred seventy-two million, two hundred eighteen thousand, four hundred forty".