71792640 has 288 divisors, whose sum is σ = 268304400. Its totient is φ = 17694720.

The previous prime is 71792639. The next prime is 71792647. The reversal of 71792640 is 4629717.

It is a happy number.

71792640 is a `hidden beast` number, since 7 + 1 + 7 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71792595 and 71792604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71792647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751020 + ... + 1751060.

Almost surely, 2^71792640 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 71792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134152200).

71792640 is an abundant number, since it is smaller than the sum of its proper divisors (196511760).

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

71792640 is a wasteful number, since it uses less digits than its factorization.

71792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 71792640 is about 8473.0537588286. The cubic root of 71792640 is about 415.6170045007.

The spelling of 71792640 in words is "seventy-one million, seven hundred ninety-two thousand, six hundred forty".