71738028 has 96 divisors (see below), whose sum is σ = 201942720. Its totient is φ = 21934080.

The previous prime is 71738021. The next prime is 71738047. The reversal of 71738028 is 82083717.

It is a super-2 number, since 2×71738028² = 10292689322657568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 71737983 and 71738001.

It is not an unprimeable number, because it can be changed into a prime (71738021) 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 31 ways as a sum of consecutive naturals, for example, 74800 + ... + 75752.

It is an arithmetic number, because the mean of its divisors is an integer number (2103570).

Almost surely, 2^71738028 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 71738028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100971360).

71738028 is an abundant number, since it is smaller than the sum of its proper divisors (130204692).

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

71738028 is a wasteful number, since it uses less digits than its factorization.

71738028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 71738028 is about 8469.8304587518. The cubic root of 71738028 is about 415.5115924251.

The spelling of 71738028 in words is "seventy-one million, seven hundred thirty-eight thousand, twenty-eight".