71072 has 12 divisors (see below), whose sum is σ = 139986. Its totient is φ = 35520.

The previous prime is 71069. The next prime is 71081. The reversal of 71072 is 27017.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 15376 = 236^2 + 124^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71072.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1079 + ... + 1142.

2⁷¹⁰⁷² is an apocalyptic number.

71072 is the 143-rd centered heptagonal number.

It is an amenable number.

71072 is a deficient number, since it is larger than the sum of its proper divisors (68914).

71072 is a wasteful number, since it uses less digits than its factorization.

71072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 71072 is about 266.5933232472. The cubic root of 71072 is about 41.4221698959.

Adding to 71072 its reverse (27017), we get a palindrome (98089).

The spelling of 71072 in words is "seventy-one thousand, seventy-two", and thus it is an iban number.