71750640 has 240 divisors, whose sum is σ = 253242720. Its totient is φ = 16773120.

The previous prime is 71750603. The next prime is 71750641. The reversal of 71750640 is 4605717.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 71750598 and 71750607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71750641) 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 47 ways as a sum of consecutive naturals, for example, 1176210 + ... + 1176270.

It is an arithmetic number, because the mean of its divisors is an integer number (1055178).

Almost surely, 2^71750640 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 71750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126621360).

71750640 is an abundant number, since it is smaller than the sum of its proper divisors (181492080).

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

71750640 is a wasteful number, since it uses less digits than its factorization.

71750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 71750640 is about 8470.5749509700. The cubic root of 71750640 is about 415.5359408554.

It can be divided in two parts, 71750 and 640, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 71750640 in words is "seventy-one million, seven hundred fifty thousand, six hundred forty".