71209728 has 108 divisors (see below), whose sum is σ = 212150848. Its totient is φ = 22947840.

The previous prime is 71209643. The next prime is 71209729. The reversal of 71209728 is 82790217.

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 = 71209692 and 71209701.

It is not an unprimeable number, because it can be changed into a prime (71209729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70926 + ... + 71922.

Almost surely, 2^71209728 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 71209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106075424).

71209728 is an abundant number, since it is smaller than the sum of its proper divisors (140941120).

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

71209728 is a wasteful number, since it uses less digits than its factorization.

71209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71209728 is about 8438.5856634865. The cubic root of 71209728 is about 414.4890949989.

The spelling of 71209728 in words is "seventy-one million, two hundred nine thousand, seven hundred twenty-eight".