71615040 has 112 divisors (see below), whose sum is σ = 259884672. Its totient is φ = 16367616.

The previous prime is 71615039. The next prime is 71615057. The reversal of 71615040 is 4051617.

It is a tau number, because it is divible by the number of its divisors (112).

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 71615040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392 + ... + 12048.

Almost surely, 2^71615040 is an apocalyptic number.

71615040 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 71615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129942336).

71615040 is an abundant number, since it is smaller than the sum of its proper divisors (188269632).

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

71615040 is a wasteful number, since it uses less digits than its factorization.

71615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 71615040 is about 8462.5669864409. The cubic root of 71615040 is about 415.2740049479.

Adding to 71615040 its reverse (4051617), we get a palindrome (75666657).

The spelling of 71615040 in words is "seventy-one million, six hundred fifteen thousand, forty".