71958000 has 160 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 18796800.

The previous prime is 71957999. The next prime is 71958011. The reversal of 71958000 is 85917.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401911 + ... + 402089.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 2^71958000 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 71958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

71958000 is an abundant number, since it is smaller than the sum of its proper divisors (164812560).

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

71958000 is a wasteful number, since it uses less digits than its factorization.

71958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 71958000 is about 8482.8061394800. The cubic root of 71958000 is about 415.9358567276.

The spelling of 71958000 in words is "seventy-one million, nine hundred fifty-eight thousand".