71072000 has 72 divisors (see below), whose sum is σ = 177128952. Its totient is φ = 28416000.

The previous prime is 71071999. The next prime is 71072017. The reversal of 71072000 is 27017.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 70023424 = 1024^2 + 8368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71072000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30890 + ... + 33110.

Almost surely, 2^71072000 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 71072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88564476).

71072000 is an abundant number, since it is smaller than the sum of its proper divisors (106056952).

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

71072000 is an equidigital number, since it uses as much as digits as its factorization.

71072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2228 counting only the distinct ones).

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

The square root of 71072000 is about 8430.4211045475. The cubic root of 71072000 is about 414.2216989589.

Adding to 71072000 its reverse (27017), we get a palindrome (71099017).

The spelling of 71072000 in words is "seventy-one million, seventy-two thousand".