71922240 has 336 divisors, whose sum is σ = 284579568. Its totient is φ = 16515072.

The previous prime is 71922161. The next prime is 71922247. The reversal of 71922240 is 4222917.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 58614336 = 3648^2 + 7656^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71922247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636424 + ... + 636536.

It is an arithmetic number, because the mean of its divisors is an integer number (846963).

Almost surely, 2^71922240 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 71922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

71922240 is an abundant number, since it is smaller than the sum of its proper divisors (212657328).

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

71922240 is a wasteful number, since it uses less digits than its factorization.

71922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71922240 is about 8480.6980844739. The cubic root of 71922240 is about 415.8669446270.

The spelling of 71922240 in words is "seventy-one million, nine hundred twenty-two thousand, two hundred forty".