71258460 has 192 divisors, whose sum is σ = 254091264. Its totient is φ = 14515200.

The previous prime is 71258459. The next prime is 71258461. The reversal of 71258460 is 6485217.

It is an interprime number because it is at equal distance from previous prime (71258459) and next prime (71258461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71258461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169050 + ... + 169470.

It is an arithmetic number, because the mean of its divisors is an integer number (1323392).

Almost surely, 2^71258460 is an apocalyptic number.

71258460 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 71258460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127045632).

71258460 is an abundant number, since it is smaller than the sum of its proper divisors (182832804).

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

71258460 is a wasteful number, since it uses less digits than its factorization.

71258460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 71258460 is about 8441.4726203430. The cubic root of 71258460 is about 414.5836245772.

The spelling of 71258460 in words is "seventy-one million, two hundred fifty-eight thousand, four hundred sixty".