71862336 has 224 divisors, whose sum is σ = 260583680. Its totient is φ = 18911232.

The previous prime is 71862239. The next prime is 71862337. The reversal of 71862336 is 63326817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×71862336³ (a number of 25 digits) contains 333 as substring.

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 71862336.

It is not an unprimeable number, because it can be changed into a prime (71862337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157020 + ... + 157476.

It is an arithmetic number, because the mean of its divisors is an integer number (1163320).

Almost surely, 2^71862336 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 71862336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130291840).

71862336 is an abundant number, since it is smaller than the sum of its proper divisors (188721344).

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

71862336 is a wasteful number, since it uses less digits than its factorization.

71862336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 71862336 is about 8477.1655640314. The cubic root of 71862336 is about 415.7514540959.

The spelling of 71862336 in words is "seventy-one million, eight hundred sixty-two thousand, three hundred thirty-six".