71265040 has 160 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 21204480.

The previous prime is 71265023. The next prime is 71265041. The reversal of 71265040 is 4056217.

It is a junction number, because it is equal to n+sod(n) for n = 71264996 and 71265014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71265041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 141429 + ... + 141931.

Almost surely, 2^71265040 is an apocalyptic number.

71265040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

71265040 is an abundant number, since it is smaller than the sum of its proper divisors (144721136).

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

71265040 is a wasteful number, since it uses less digits than its factorization.

71265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 71265040 is about 8441.8623537700. The cubic root of 71265040 is about 414.5963850564.

The spelling of 71265040 in words is "seventy-one million, two hundred sixty-five thousand, forty".