71774640 has 320 divisors, whose sum is σ = 291409920. Its totient is φ = 15897600.

The previous prime is 71774639. The next prime is 71774657. The reversal of 71774640 is 4647717.

71774640 is a `hidden beast` number, since 7 + 1 + 7 + 7 + 4 + 640 = 666.

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 = 71774595 and 71774604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710590 + ... + 710690.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^71774640 is an apocalyptic number.

71774640 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 71774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

71774640 is an abundant number, since it is smaller than the sum of its proper divisors (219635280).

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

71774640 is a wasteful number, since it uses less digits than its factorization.

71774640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 71774640 is about 8471.9915014122. The cubic root of 71774640 is about 415.5822668108.

It can be divided in two parts, 717 and 74640, that added together give a palindrome (75357).

The spelling of 71774640 in words is "seventy-one million, seven hundred seventy-four thousand, six hundred forty".