272016640 has 108 divisors (see below), whose sum is σ = 758117556. Its totient is φ = 93241344.

The previous prime is 272016631. The next prime is 272016659. The reversal of 272016640 is 46610272.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 235438336 = 6048^2 + 15344^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 272016599 and 272016608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60552 + ... + 64888.

It is an arithmetic number, because the mean of its divisors is an integer number (7019607).

Almost surely, 2^272016640 is an apocalyptic number.

272016640 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 272016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379058778).

272016640 is an abundant number, since it is smaller than the sum of its proper divisors (486100916).

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

272016640 is an equidigital number, since it uses as much as digits as its factorization.

272016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 272016640 is about 16492.9269688555. The cubic root of 272016640 is about 647.9355725205.

The spelling of 272016640 in words is "two hundred seventy-two million, sixteen thousand, six hundred forty".