71258004 has 72 divisors (see below), whose sum is σ = 188239688. Its totient is φ = 22705920.

The previous prime is 71258003. The next prime is 71258021. The reversal of 71258004 is 40085217.

It can be written as a sum of positive squares in 4 ways, for example, as 16793604 + 54464400 = 4098^2 + 7380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71258003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80814 + ... + 81690.

Almost surely, 2^71258004 is an apocalyptic number.

71258004 is a gapful number since it is divisible by the number (74) 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 71258004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94119844).

71258004 is an abundant number, since it is smaller than the sum of its proper divisors (116981684).

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

71258004 is a wasteful number, since it uses less digits than its factorization.

71258004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71258004 is about 8441.4456107944. The cubic root of 71258004 is about 414.5827402352.

It can be divided in two parts, 7125 and 8004, that added together give a square (15129 = 123²).

The spelling of 71258004 in words is "seventy-one million, two hundred fifty-eight thousand, four".