71939400 has 192 divisors, whose sum is σ = 251233920. Its totient is φ = 16896000.

The previous prime is 71939381. The next prime is 71939407. The reversal of 71939400 is 493917.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71939407) 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 47 ways as a sum of consecutive naturals, for example, 179200 + ... + 179600.

It is an arithmetic number, because the mean of its divisors is an integer number (1308510).

Almost surely, 2^71939400 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 71939400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125616960).

71939400 is an abundant number, since it is smaller than the sum of its proper divisors (179294520).

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

71939400 is a wasteful number, since it uses less digits than its factorization.

71939400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 71939400 is about 8481.7097333026. The cubic root of 71939400 is about 415.9000160353.

The spelling of 71939400 in words is "seventy-one million, nine hundred thirty-nine thousand, four hundred".