272147040 has 480 divisors, whose sum is σ = 1106493696. Its totient is φ = 62346240.

The previous prime is 272147039. The next prime is 272147069. The reversal of 272147040 is 40741272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×272147040² = 148128022761523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 272146995 and 272147013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3278839 + ... + 3278921.

Almost surely, 2^272147040 is an apocalyptic number.

272147040 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 272147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553246848).

272147040 is an abundant number, since it is smaller than the sum of its proper divisors (834346656).

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

272147040 is a wasteful number, since it uses less digits than its factorization.

272147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 272147040 is about 16496.8797049624. The cubic root of 272147040 is about 648.0390922918.

The spelling of 272147040 in words is "two hundred seventy-two million, one hundred forty-seven thousand, forty".