71459712 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 21288960.

The previous prime is 71459699. The next prime is 71459747. The reversal of 71459712 is 21795417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2305137 + ... + 2305167.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^71459712 is an apocalyptic number.

71459712 is a gapful number since it is divisible by the number (72) 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 71459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

71459712 is an abundant number, since it is smaller than the sum of its proper divisors (163548288).

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

71459712 is a wasteful number, since it uses less digits than its factorization.

71459712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 71459712 is about 8453.3846475835. The cubic root of 71459712 is about 414.9735542252.

The spelling of 71459712 in words is "seventy-one million, four hundred fifty-nine thousand, seven hundred twelve".