272348640 has 144 divisors (see below), whose sum is σ = 959527296. Its totient is φ = 70272000.

The previous prime is 272348623. The next prime is 272348651. The reversal of 272348640 is 46843272.

272348640 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 272348595 and 272348604.

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, 41590 + ... + 47690.

It is an arithmetic number, because the mean of its divisors is an integer number (6663384).

Almost surely, 2^272348640 is an apocalyptic number.

272348640 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 272348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479763648).

272348640 is an abundant number, since it is smaller than the sum of its proper divisors (687178656).

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

272348640 is a wasteful number, since it uses less digits than its factorization.

272348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 272348640 is about 16502.9888202107. The cubic root of 272348640 is about 648.1990700680.

The spelling of 272348640 in words is "two hundred seventy-two million, three hundred forty-eight thousand, six hundred forty".