272812032 has 216 divisors, whose sum is σ = 851866470. Its totient is φ = 84049920.

The previous prime is 272812031. The next prime is 272812061. The reversal of 272812032 is 230218272.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 269485056 + 3326976 = 16416^2 + 1824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 272811987 and 272812005.

It is not an unprimeable number, because it can be changed into a prime (272812031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6653932 + ... + 6653972.

Almost surely, 2^272812032 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 272812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425933235).

272812032 is an abundant number, since it is smaller than the sum of its proper divisors (579054438).

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

272812032 is a wasteful number, since it uses less digits than its factorization.

272812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272812032 is about 16517.0224919626. The cubic root of 272812032 is about 648.5664913602.

The spelling of 272812032 in words is "two hundred seventy-two million, eight hundred twelve thousand, thirty-two".