71904000 has 288 divisors, whose sum is σ = 275498496. Its totient is φ = 16281600.

The previous prime is 71903989. The next prime is 71904013. The reversal of 71904000 is 40917.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 671947 + ... + 672053.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 2^71904000 is an apocalyptic number.

71904000 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 71904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137749248).

71904000 is an abundant number, since it is smaller than the sum of its proper divisors (203594496).

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

71904000 is a wasteful number, since it uses less digits than its factorization.

71904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71904000 is about 8479.6226331129. The cubic root of 71904000 is about 415.8317860335.

Adding to 71904000 its reverse (40917), we get a palindrome (71944917).

The spelling of 71904000 in words is "seventy-one million, nine hundred four thousand".