71915040 has 240 divisors, whose sum is σ = 263450880. Its totient is φ = 18455040.

The previous prime is 71915033. The next prime is 71915069. The reversal of 71915040 is 4051917.

71915040 is a `hidden beast` number, since 71 + 91 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71914995 and 71915013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401671 + ... + 401849.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^71915040 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 71915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

71915040 is an abundant number, since it is smaller than the sum of its proper divisors (191535840).

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

71915040 is a wasteful number, since it uses less digits than its factorization.

71915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71915040 is about 8480.2735804926. The cubic root of 71915040 is about 415.8530669450.

Adding to 71915040 its reverse (4051917), we get a palindrome (75966957).

The spelling of 71915040 in words is "seventy-one million, nine hundred fifteen thousand, forty".