71857152 has 176 divisors, whose sum is σ = 224023680. Its totient is φ = 22708224.

The previous prime is 71857151. The next prime is 71857169. The reversal of 71857152 is 25175817.

It is a super-2 number, since 2×71857152² = 10326900587102208, which contains 22 as substring.

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 (71857151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635848 + ... + 635960.

Almost surely, 2^71857152 is an apocalyptic number.

71857152 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 71857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112011840).

71857152 is an abundant number, since it is smaller than the sum of its proper divisors (152166528).

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

71857152 is a wasteful number, since it uses less digits than its factorization.

71857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 71857152 is about 8476.8597959386. The cubic root of 71857152 is about 415.7414567061.

The spelling of 71857152 in words is "seventy-one million, eight hundred fifty-seven thousand, one hundred fifty-two".