71878000 has 80 divisors (see below), whose sum is σ = 176301216. Its totient is φ = 28339200.

The previous prime is 71877991. The next prime is 71878003. The reversal of 71878000 is 87817.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71878003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165784 + ... + 166216.

Almost surely, 2^71878000 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 71878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88150608).

71878000 is an abundant number, since it is smaller than the sum of its proper divisors (104423216).

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

71878000 is a wasteful number, since it uses less digits than its factorization.

71878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 71878000 is about 8478.0894074078. The cubic root of 71878000 is about 415.7816593375.

The spelling of 71878000 in words is "seventy-one million, eight hundred seventy-eight thousand".