71963136 has 240 divisors, whose sum is σ = 250233984. Its totient is φ = 19464192.

The previous prime is 71963131. The next prime is 71963167. The reversal of 71963136 is 63136917.

71963136 is a `hidden beast` number, since 7 + 19 + 631 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71963136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71963131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741840 + ... + 741936.

Almost surely, 2^71963136 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 71963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125116992).

71963136 is an abundant number, since it is smaller than the sum of its proper divisors (178270848).

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

71963136 is a wasteful number, since it uses less digits than its factorization.

71963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 71963136 is about 8483.1088640899. The cubic root of 71963136 is about 415.9457522951.

The spelling of 71963136 in words is "seventy-one million, nine hundred sixty-three thousand, one hundred thirty-six".