71958432 has 96 divisors (see below), whose sum is σ = 232509312. Its totient is φ = 18975744.

The previous prime is 71958401. The next prime is 71958461. The reversal of 71958432 is 23485917.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4618 + ... + 12854.

It is an arithmetic number, because the mean of its divisors is an integer number (2421972).

Almost surely, 2^71958432 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 71958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116254656).

71958432 is an abundant number, since it is smaller than the sum of its proper divisors (160550880).

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

71958432 is a wasteful number, since it uses less digits than its factorization.

71958432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8262 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 71958432 is about 8482.8316027138. The cubic root of 71958432 is about 415.9366890832.

It can be divided in two parts, 71958 and 432, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 71958432 in words is "seventy-one million, nine hundred fifty-eight thousand, four hundred thirty-two".