71966232 has 80 divisors (see below), whose sum is σ = 217103040. Its totient is φ = 22140864.

The previous prime is 71966231. The next prime is 71966273. The reversal of 71966232 is 23266917.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71966231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4153 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (2713788).

Almost surely, 2^71966232 is an apocalyptic number.

71966232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71966232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108551520).

71966232 is an abundant number, since it is smaller than the sum of its proper divisors (145136808).

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

71966232 is a wasteful number, since it uses less digits than its factorization.

71966232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 8561 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 71966232 is about 8483.2913423977. The cubic root of 71966232 is about 415.9517171527.

The spelling of 71966232 in words is "seventy-one million, nine hundred sixty-six thousand, two hundred thirty-two".