71352840 has 128 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 17212416.

The previous prime is 71352839. The next prime is 71352857. The reversal of 71352840 is 4825317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71352798 and 71352807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82249 + ... + 83111.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 2^71352840 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 71352840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

71352840 is an abundant number, since it is smaller than the sum of its proper divisors (163793400).

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

71352840 is a wasteful number, since it uses less digits than its factorization.

71352840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 71352840 is about 8447.0610273633. The cubic root of 71352840 is about 414.7665789489.

The spelling of 71352840 in words is "seventy-one million, three hundred fifty-two thousand, eight hundred forty".