71749776 has 80 divisors (see below), whose sum is σ = 223001600. Its totient is φ = 19419264.

The previous prime is 71749763. The next prime is 71749781. The reversal of 71749776 is 67794717.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (2787520).

Almost surely, 2^71749776 is an apocalyptic number.

71749776 is a gapful number since it is divisible by the number (76) 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 71749776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111500800).

71749776 is an abundant number, since it is smaller than the sum of its proper divisors (151251824).

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

71749776 is a wasteful number, since it uses less digits than its factorization.

71749776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276 (or 11270 counting only the distinct ones).

The product of its digits is 518616, while the sum is 48.

The square root of 71749776 is about 8470.5239507365. The cubic root of 71749776 is about 415.5342729284.

The spelling of 71749776 in words is "seventy-one million, seven hundred forty-nine thousand, seven hundred seventy-six".