272305890 has 48 divisors (see below), whose sum is σ = 716976000. Its totient is φ = 71693856.

The previous prime is 272305883. The next prime is 272305897. The reversal of 272305890 is 98503272.

It is a happy number.

272305890 is a `hidden beast` number, since 2 + 72 + 3 + 0 + 589 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (272305883) and next prime (272305897).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (272305897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12040 + ... + 26259.

It is an arithmetic number, because the mean of its divisors is an integer number (14937000).

Almost surely, 2^272305890 is an apocalyptic number.

272305890 is an abundant number, since it is smaller than the sum of its proper divisors (444670110).

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

272305890 is a wasteful number, since it uses less digits than its factorization.

272305890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38391 (or 38388 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 272305890 is about 16501.6935494512. The cubic root of 272305890 is about 648.1651528064.

The spelling of 272305890 in words is "two hundred seventy-two million, three hundred five thousand, eight hundred ninety".