71132640 has 48 divisors (see below), whose sum is σ = 224069328. Its totient is φ = 18968576.

The previous prime is 71132609. The next prime is 71132657. The reversal of 71132640 is 4623117.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71132640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73617 + ... + 74576.

It is an arithmetic number, because the mean of its divisors is an integer number (4668111).

Almost surely, 2^71132640 is an apocalyptic number.

It is an amenable number.

71132640 is an abundant number, since it is smaller than the sum of its proper divisors (152936688).

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

71132640 is a wasteful number, since it uses less digits than its factorization.

71132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148211 (or 148203 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71132640 is about 8434.0168365969. The cubic root of 71132640 is about 414.3394727816.

Adding to 71132640 its reverse (4623117), we get a palindrome (75755757).

The spelling of 71132640 in words is "seventy-one million, one hundred thirty-two thousand, six hundred forty".