71370640 has 120 divisors (see below), whose sum is σ = 186722424. Its totient is φ = 25344000.

The previous prime is 71370617. The next prime is 71370643. The reversal of 71370640 is 4607317.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 45319824 = 5104^2 + 6732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71370599 and 71370608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71370643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706590 + ... + 706690.

Almost surely, 2^71370640 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 71370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93361212).

71370640 is an abundant number, since it is smaller than the sum of its proper divisors (115351784).

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

71370640 is a wasteful number, since it uses less digits than its factorization.

71370640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 71370640 is about 8448.1145825563. The cubic root of 71370640 is about 414.8010659259.

Adding to 71370640 its reverse (4607317), we get a palindrome (75977957).

It can be divided in two parts, 71370 and 640, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 71370640 in words is "seventy-one million, three hundred seventy thousand, six hundred forty".