71738352 has 120 divisors (see below), whose sum is σ = 239605200. Its totient is φ = 20490624.

The previous prime is 71738347. The next prime is 71738369. The reversal of 71738352 is 25383717.

It is a super-2 number, since 2×71738352² = 10292782295351808, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19474 + ... + 22862.

It is an arithmetic number, because the mean of its divisors is an integer number (1996710).

Almost surely, 2^71738352 is an apocalyptic number.

71738352 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 71738352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119802600).

71738352 is an abundant number, since it is smaller than the sum of its proper divisors (167866848).

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

71738352 is a wasteful number, since it uses less digits than its factorization.

71738352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3401 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 71738352 is about 8469.8495854413. The cubic root of 71738352 is about 415.5122179676.

The spelling of 71738352 in words is "seventy-one million, seven hundred thirty-eight thousand, three hundred fifty-two".