272024640 has 168 divisors, whose sum is σ = 968212440. Its totient is φ = 70017024.

The previous prime is 272024639. The next prime is 272024663. The reversal of 272024640 is 46420272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70157376 + 201867264 = 8376^2 + 14208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81892 + ... + 85148.

Almost surely, 2^272024640 is an apocalyptic number.

272024640 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 272024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484106220).

272024640 is an abundant number, since it is smaller than the sum of its proper divisors (696187800).

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

272024640 is a wasteful number, since it uses less digits than its factorization.

272024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 272024640 is about 16493.1694952789. The cubic root of 272024640 is about 647.9419243792.

The spelling of 272024640 in words is "two hundred seventy-two million, twenty-four thousand, six hundred forty".