71948304 has 80 divisors (see below), whose sum is σ = 213676800. Its totient is φ = 23151744.

The previous prime is 71948299. The next prime is 71948309. The reversal of 71948304 is 40384917.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71948299) and next prime (71948309).

It is a super-3 number, since 3×71948304³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (71948309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9657 + ... + 15399.

It is an arithmetic number, because the mean of its divisors is an integer number (2670960).

Almost surely, 2^71948304 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 71948304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106838400).

71948304 is an abundant number, since it is smaller than the sum of its proper divisors (141728496).

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

71948304 is a wasteful number, since it uses less digits than its factorization.

71948304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 71948304 is about 8482.2346112331. The cubic root of 71948304 is about 415.9171740922.

The spelling of 71948304 in words is "seventy-one million, nine hundred forty-eight thousand, three hundred four".