71379000 has 384 divisors, whose sum is σ = 303713280. Its totient is φ = 14688000.

The previous prime is 71378987. The next prime is 71379013. The reversal of 71379000 is 97317.

It is an interprime number because it is at equal distance from previous prime (71378987) and next prime (71379013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692949 + ... + 693051.

It is an arithmetic number, because the mean of its divisors is an integer number (790920).

Almost surely, 2^71379000 is an apocalyptic number.

71379000 is a gapful number since it is divisible by the number (70) 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 71379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856640).

71379000 is an abundant number, since it is smaller than the sum of its proper divisors (232334280).

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

71379000 is a wasteful number, since it uses less digits than its factorization.

71379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 71379000 is about 8448.6093530237. The cubic root of 71379000 is about 414.8172612014.

The spelling of 71379000 in words is "seventy-one million, three hundred seventy-nine thousand".