270072 has 72 divisors (see below), whose sum is σ = 829920. Its totient is φ = 79200.

The previous prime is 270071. The next prime is 270073.

270072 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (270071) and next prime (270073).

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

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270071) 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, 8697 + ... + 8727.

2²⁷⁰⁰⁷² is an apocalyptic number.

270072 is a gapful number since it is divisible by the number (22) 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 270072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

270072 is an abundant number, since it is smaller than the sum of its proper divisors (559848).

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

270072 is a wasteful number, since it uses less digits than its factorization.

270072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 270072 is about 519.6845196848. The cubic root of 270072 is about 64.6387853495.

It can be divided in two parts, 2700 and 72, that added together give a palindrome (2772).

The spelling of 270072 in words is "two hundred seventy thousand, seventy-two", and thus it is an iban number.