71649000 has 192 divisors, whose sum is σ = 255528000. Its totient is φ = 18057600.

The previous prime is 71648987. The next prime is 71649013. The reversal of 71649000 is 94617.

It is an interprime number because it is at equal distance from previous prime (71648987) and next prime (71649013).

It is an unprimeable number.

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, 170791 + ... + 171209.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^71649000 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 71649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764000).

71649000 is an abundant number, since it is smaller than the sum of its proper divisors (183879000).

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

71649000 is a wasteful number, since it uses less digits than its factorization.

71649000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71649000 is about 8464.5732320064. The cubic root of 71649000 is about 415.3396358387.

The spelling of 71649000 in words is "seventy-one million, six hundred forty-nine thousand".