71749440 has 168 divisors, whose sum is σ = 282122880. Its totient is φ = 16395264.

The previous prime is 71749427. The next prime is 71749441. The reversal of 71749440 is 4494717.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 71749395 and 71749404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71749441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18381 + ... + 21939.

Almost surely, 2^71749440 is an apocalyptic number.

71749440 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 71749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141061440).

71749440 is an abundant number, since it is smaller than the sum of its proper divisors (210373440).

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

71749440 is a wasteful number, since it uses less digits than its factorization.

71749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71749440 is about 8470.5041172294. The cubic root of 71749440 is about 415.5336242865.

The spelling of 71749440 in words is "seventy-one million, seven hundred forty-nine thousand, four hundred forty".