272208672 has 72 divisors (see below), whose sum is σ = 785702736. Its totient is φ = 89375616.

The previous prime is 272208653. The next prime is 272208679. The reversal of 272208672 is 276802272.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×272208672² = 148195122224007168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (272208679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12243 + ... + 26349.

It is an arithmetic number, because the mean of its divisors is an integer number (10912538).

Almost surely, 2^272208672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392851368).

272208672 is an abundant number, since it is smaller than the sum of its proper divisors (513494064).

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

272208672 is a wasteful number, since it uses less digits than its factorization.

272208672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14190 (or 14179 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272208672 is about 16498.7475888323. The cubic root of 272208672 is about 648.0880081655.

The spelling of 272208672 in words is "two hundred seventy-two million, two hundred eight thousand, six hundred seventy-two".