272034 has 48 divisors (see below), whose sum is σ = 718848. Its totient is φ = 72576.

The previous prime is 272029. The next prime is 272039. The reversal of 272034 is 430272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272029) and next prime (272039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 271998 and 272016.

It is not an unprimeable number, because it can be changed into a prime (272039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2079 + ... + 2205.

It is an arithmetic number, because the mean of its divisors is an integer number (14976).

2²⁷²⁰³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359424).

272034 is an abundant number, since it is smaller than the sum of its proper divisors (446814).

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

272034 is a wasteful number, since it uses less digits than its factorization.

272034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 272034 is about 521.5687874097. The cubic root of 272034 is about 64.7949355896.

The spelling of 272034 in words is "two hundred seventy-two thousand, thirty-four".