71353728 has 96 divisors (see below), whose sum is σ = 214334640. Its totient is φ = 22742016.

The previous prime is 71353697. The next prime is 71353729. The reversal of 71353728 is 82735317.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 71353692 and 71353701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71353729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25150 + ... + 27842.

Almost surely, 2^71353728 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 71353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107167320).

71353728 is an abundant number, since it is smaller than the sum of its proper divisors (142980912).

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

71353728 is a wasteful number, since it uses less digits than its factorization.

71353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2721 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 71353728 is about 8447.1135898601. The cubic root of 71353728 is about 414.7682995587.

The spelling of 71353728 in words is "seventy-one million, three hundred fifty-three thousand, seven hundred twenty-eight".