71953040 has 20 divisors (see below), whose sum is σ = 167291004. Its totient is φ = 28781184.

The previous prime is 71953009. The next prime is 71953043. The reversal of 71953040 is 4035917.

It can be written as a sum of positive squares in 2 ways, for example, as 21939856 + 50013184 = 4684^2 + 7072^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 71952994 and 71953012.

It is not an unprimeable number, because it can be changed into a prime (71953043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449627 + ... + 449786.

Almost surely, 2^71953040 is an apocalyptic number.

It is an amenable number.

71953040 is an abundant number, since it is smaller than the sum of its proper divisors (95337964).

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

71953040 is a wasteful number, since it uses less digits than its factorization.

71953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899426 (or 899420 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 71953040 is about 8482.5137783560. The cubic root of 71953040 is about 415.9262998136.

Adding to 71953040 its reverse (4035917), we get a palindrome (75988957).

The spelling of 71953040 in words is "seventy-one million, nine hundred fifty-three thousand, forty".