71836672 has 66 divisors (see below), whose sum is σ = 150417654. Its totient is φ = 34283520.

The previous prime is 71836669. The next prime is 71836673. The reversal of 71836672 is 27663817.

It can be written as a sum of positive squares in only one way, i.e., 62980096 + 8856576 = 7936^2 + 2976^2 .

It is not an unprimeable number, because it can be changed into a prime (71836673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 984028 + ... + 984100.

Almost surely, 2^71836672 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 71836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75208827).

71836672 is an abundant number, since it is smaller than the sum of its proper divisors (78580982).

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

71836672 is an equidigital number, since it uses as much as digits as its factorization.

71836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 71836672 is about 8475.6517153550. The cubic root of 71836672 is about 415.7019561422.

The spelling of 71836672 in words is "seventy-one million, eight hundred thirty-six thousand, six hundred seventy-two".