71373120 has 448 divisors, whose sum is σ = 300410880. Its totient is φ = 13934592.

The previous prime is 71373083. The next prime is 71373121. The reversal of 71373120 is 2137317.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71373121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659819 + ... + 1659861.

It is an arithmetic number, because the mean of its divisors is an integer number (670560).

Almost surely, 2^71373120 is an apocalyptic number.

71373120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

71373120 is an abundant number, since it is smaller than the sum of its proper divisors (229037760).

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

71373120 is a wasteful number, since it uses less digits than its factorization.

71373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 71373120 is about 8448.2613595935. The cubic root of 71373120 is about 414.8058703980.

The spelling of 71373120 in words is "seventy-one million, three hundred seventy-three thousand, one hundred twenty".