71973343120 has 160 divisors (see below), whose sum is σ = 193509400320. Its totient is φ = 24385536000.

The previous prime is 71973343081. The next prime is 71973343159. The reversal of 71973343120 is 2134337917.

It is an interprime number because it is at equal distance from previous prime (71973343081) and next prime (71973343159).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23981620 + ... + 23984620.

It is an arithmetic number, because the mean of its divisors is an integer number (1209433752).

Almost surely, 2^71973343120 is an apocalyptic number.

71973343120 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 71973343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96754700160).

71973343120 is an abundant number, since it is smaller than the sum of its proper divisors (121536057200).

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

71973343120 is a wasteful number, since it uses less digits than its factorization.

71973343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The spelling of 71973343120 in words is "seventy-one billion, nine hundred seventy-three million, three hundred forty-three thousand, one hundred twenty".