71500728 has 64 divisors (see below), whose sum is σ = 194493600. Its totient is φ = 21772800.

The previous prime is 71500703. The next prime is 71500729. The reversal of 71500728 is 82700517.

It is a happy number.

It is a super-2 number, since 2×71500728² = 10224708209059968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71500695 and 71500704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71500729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30378 + ... + 32646.

Almost surely, 2^71500728 is an apocalyptic number.

71500728 is a gapful number since it is divisible by the number (78) 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 71500728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97246800).

71500728 is an abundant number, since it is smaller than the sum of its proper divisors (122992872).

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

71500728 is a wasteful number, since it uses less digits than its factorization.

71500728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 71500728 is about 8455.8103100767. The cubic root of 71500728 is about 415.0529336844.

The spelling of 71500728 in words is "seventy-one million, five hundred thousand, seven hundred twenty-eight".