71252928 has 84 divisors (see below), whose sum is σ = 206388208. Its totient is φ = 23500800.

The previous prime is 71252903. The next prime is 71252939. The reversal of 71252928 is 82925217.

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 = 71252892 and 71252901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58728 + ... + 59928.

Almost surely, 2^71252928 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 71252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194104).

71252928 is an abundant number, since it is smaller than the sum of its proper divisors (135135280).

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

71252928 is a wasteful number, since it uses less digits than its factorization.

71252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1309 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 71252928 is about 8441.1449460366. The cubic root of 71252928 is about 414.5728958583.

The spelling of 71252928 in words is "seventy-one million, two hundred fifty-two thousand, nine hundred twenty-eight".