272472640 has 168 divisors, whose sum is σ = 739420416. Its totient is φ = 95462400.

The previous prime is 272472637. The next prime is 272472643. The reversal of 272472640 is 46274272.

It is an interprime number because it is at equal distance from previous prime (272472637) and next prime (272472643).

It is a junction number, because it is equal to n+sod(n) for n = 272472596 and 272472605.

It is not an unprimeable number, because it can be changed into a prime (272472643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200207 + ... + 1200433.

It is an arithmetic number, because the mean of its divisors is an integer number (4401312).

Almost surely, 2^272472640 is an apocalyptic number.

272472640 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 272472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369710208).

272472640 is an abundant number, since it is smaller than the sum of its proper divisors (466947776).

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

272472640 is a wasteful number, since it uses less digits than its factorization.

272472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 272472640 is about 16506.7452879118. The cubic root of 272472640 is about 648.2974298876.

The spelling of 272472640 in words is "two hundred seventy-two million, four hundred seventy-two thousand, six hundred forty".