71528896 has 28 divisors (see below), whose sum is σ = 148114512. Its totient is φ = 34208768.

The previous prime is 71528893. The next prime is 71528917. The reversal of 71528896 is 69882517.

71528896 = T₆₉₀₄ + T₆₉₀₅ + T₆₉₀₆.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71528893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22825 + ... + 25768.

It is an arithmetic number, because the mean of its divisors is an integer number (5289804).

Almost surely, 2^71528896 is an apocalyptic number.

71528896 is the 6906-th centered triangular number.

It is an amenable number.

71528896 is an abundant number, since it is smaller than the sum of its proper divisors (76585616).

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

71528896 is a wasteful number, since it uses less digits than its factorization.

71528896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48628 (or 48618 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 71528896 is about 8457.4757463442. The cubic root of 71528896 is about 415.1074304540.

The spelling of 71528896 in words is "seventy-one million, five hundred twenty-eight thousand, eight hundred ninety-six".