71926320 has 160 divisors (see below), whose sum is σ = 240788160. Its totient is φ = 17756160.

The previous prime is 71926301. The next prime is 71926321. The reversal of 71926320 is 2362917.

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

It is not an unprimeable number, because it can be changed into a prime (71926321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179090 + ... + 1179150.

It is an arithmetic number, because the mean of its divisors is an integer number (1504926).

Almost surely, 2^71926320 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 71926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120394080).

71926320 is an abundant number, since it is smaller than the sum of its proper divisors (168861840).

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

71926320 is a wasteful number, since it uses less digits than its factorization.

71926320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 71926320 is about 8480.9386272983. The cubic root of 71926320 is about 415.8748082356.

The spelling of 71926320 in words is "seventy-one million, nine hundred twenty-six thousand, three hundred twenty".