71774040 has 128 divisors (see below), whose sum is σ = 234259200. Its totient is φ = 17487360.

The previous prime is 71774023. The next prime is 71774041. The reversal of 71774040 is 4047717.

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

It is a junction number, because it is equal to n+sod(n) for n = 71773989 and 71774007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71774041) 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, 216675 + ... + 217005.

It is an arithmetic number, because the mean of its divisors is an integer number (1830150).

Almost surely, 2^71774040 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 71774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117129600).

71774040 is an abundant number, since it is smaller than the sum of its proper divisors (162485160).

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

71774040 is a wasteful number, since it uses less digits than its factorization.

71774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 71774040 is about 8471.9560905378. The cubic root of 71774040 is about 415.5811087878.

The spelling of 71774040 in words is "seventy-one million, seven hundred seventy-four thousand, forty".