139264272 has 360 divisors, whose sum is σ = 509404896. Its totient is φ = 36578304.

The previous prime is 139264267. The next prime is 139264283. The reversal of 139264272 is 272462931.

139264272 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 642 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36288) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238683 + ... + 3238725.

Almost surely, 2^139264272 is an apocalyptic number.

139264272 is a gapful number since it is divisible by the number (12) 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 139264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).

139264272 is an abundant number, since it is smaller than the sum of its proper divisors (370140624).

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

139264272 is a wasteful number, since it uses less digits than its factorization.

139264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 139264272 is about 11801.0284297598. The cubic root of 139264272 is about 518.3382256637.

The spelling of 139264272 in words is "one hundred thirty-nine million, two hundred sixty-four thousand, two hundred seventy-two".