71538390 has 320 divisors, whose sum is σ = 254251008. Its totient is φ = 13996800.

The previous prime is 71538377. The next prime is 71538391. The reversal of 71538390 is 9383517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71538391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1933452 + ... + 1933488.

Almost surely, 2^71538390 is an apocalyptic number.

71538390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71538390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127125504).

71538390 is an abundant number, since it is smaller than the sum of its proper divisors (182712618).

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

71538390 is a wasteful number, since it uses less digits than its factorization.

71538390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 71538390 is about 8458.0370063035. The cubic root of 71538390 is about 415.1257953192.

The spelling of 71538390 in words is "seventy-one million, five hundred thirty-eight thousand, three hundred ninety".