71793120 has 192 divisors, whose sum is σ = 269982720. Its totient is φ = 15679488.

The previous prime is 71793119. The next prime is 71793121. The reversal of 71793120 is 2139717.

It is an interprime number because it is at equal distance from previous prime (71793119) and next prime (71793121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71793121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76816 + ... + 77744.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^71793120 is an apocalyptic number.

71793120 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 71793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

71793120 is an abundant number, since it is smaller than the sum of its proper divisors (198189600).

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

71793120 is a wasteful number, since it uses less digits than its factorization.

71793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 71793120 is about 8473.0820838701. The cubic root of 71793120 is about 415.6179307596.

The spelling of 71793120 in words is "seventy-one million, seven hundred ninety-three thousand, one hundred twenty".