71457840 has 120 divisors (see below), whose sum is σ = 244063248. Its totient is φ = 18731520.

The previous prime is 71457839. The next prime is 71457853. The reversal of 71457840 is 4875417.

71457840 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71457795 and 71457804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43107 + ... + 44733.

Almost surely, 2^71457840 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 71457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122031624).

71457840 is an abundant number, since it is smaller than the sum of its proper divisors (172605408).

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

71457840 is a wasteful number, since it uses less digits than its factorization.

71457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 71457840 is about 8453.2739219784. The cubic root of 71457840 is about 414.9699305643.

The spelling of 71457840 in words is "seventy-one million, four hundred fifty-seven thousand, eight hundred forty".