70272 has 48 divisors (see below), whose sum is σ = 205530. Its totient is φ = 23040.

The previous prime is 70271. The next prime is 70289. The reversal of 70272 is 27207.

70272 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 576 = 264^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (70271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1122 + ... + 1182.

2⁷⁰²⁷² is an apocalyptic number.

70272 is a gapful number since it is divisible by the number (72) 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 70272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102765).

70272 is an abundant number, since it is smaller than the sum of its proper divisors (135258).

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

70272 is a wasteful number, since it uses less digits than its factorization.

70272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

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

The square root of 70272 is about 265.0886644125. The cubic root of 70272 is about 41.2661644638.

Adding to 70272 its reverse (27207), we get a palindrome (97479).

The spelling of 70272 in words is "seventy thousand, two hundred seventy-two", and thus it is an iban number.