71952192 has 112 divisors (see below), whose sum is σ = 227868480. Its totient is φ = 22132224.

The previous prime is 71952191. The next prime is 71952193. The reversal of 71952192 is 29125917.

It is an interprime number because it is at equal distance from previous prime (71952191) and next prime (71952193).

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 (71952191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20863 + ... + 24065.

It is an arithmetic number, because the mean of its divisors is an integer number (2034540).

Almost surely, 2^71952192 is an apocalyptic number.

71952192 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 71952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113934240).

71952192 is an abundant number, since it is smaller than the sum of its proper divisors (155916288).

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

71952192 is a wasteful number, since it uses less digits than its factorization.

71952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3221 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 71952192 is about 8482.4637930262. The cubic root of 71952192 is about 415.9246658456.

The spelling of 71952192 in words is "seventy-one million, nine hundred fifty-two thousand, one hundred ninety-two".