71432928 has 240 divisors, whose sum is σ = 249790464. Its totient is φ = 19595520.

The previous prime is 71432927. The next prime is 71432939. The reversal of 71432928 is 82923417.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71432892 and 71432901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71432927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562401 + ... + 562527.

Almost surely, 2^71432928 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 71432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124895232).

71432928 is an abundant number, since it is smaller than the sum of its proper divisors (178357536).

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

71432928 is a wasteful number, since it uses less digits than its factorization.

71432928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 71432928 is about 8451.8002815968. The cubic root of 71432928 is about 414.9217019749.

The spelling of 71432928 in words is "seventy-one million, four hundred thirty-two thousand, nine hundred twenty-eight".