272623680 has 168 divisors, whose sum is σ = 1071749952. Its totient is φ = 62309376.

The previous prime is 272623657. The next prime is 272623691. The reversal of 272623680 is 86326272.

272623680 is a `hidden beast` number, since 27 + 2 + 623 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 13399 + ... + 26921.

It is an arithmetic number, because the mean of its divisors is an integer number (6379464).

Almost surely, 2^272623680 is an apocalyptic number.

272623680 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 272623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535874976).

272623680 is an abundant number, since it is smaller than the sum of its proper divisors (799126272).

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

272623680 is a wasteful number, since it uses less digits than its factorization.

272623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13553 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 272623680 is about 16511.3197534298. The cubic root of 272623680 is about 648.4171981896.

The spelling of 272623680 in words is "two hundred seventy-two million, six hundred twenty-three thousand, six hundred eighty".