71902368 has 72 divisors (see below), whose sum is σ = 211547700. Its totient is φ = 23138304.

The previous prime is 71902357. The next prime is 71902373. The reversal of 71902368 is 86320917.

It can be written as a sum of positive squares in 2 ways, for example, as 70761744 + 1140624 = 8412^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4048 + ... + 12656.

Almost surely, 2^71902368 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 71902368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105773850).

71902368 is an abundant number, since it is smaller than the sum of its proper divisors (139645332).

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

71902368 is a wasteful number, since it uses less digits than its factorization.

71902368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71902368 is about 8479.5264018694. The cubic root of 71902368 is about 415.8286399748.

The spelling of 71902368 in words is "seventy-one million, nine hundred two thousand, three hundred sixty-eight".