71229312 has 288 divisors, whose sum is σ = 261009840. Its totient is φ = 18247680.

The previous prime is 71229287. The next prime is 71229359. The reversal of 71229312 is 21392217.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×71229312² = 10147229775986688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975708 + ... + 975780.

Almost surely, 2^71229312 is an apocalyptic number.

71229312 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 71229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130504920).

71229312 is an abundant number, since it is smaller than the sum of its proper divisors (189780528).

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

71229312 is a wasteful number, since it uses less digits than its factorization.

71229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 71229312 is about 8439.7459677410. The cubic root of 71229312 is about 414.5270889203.

The spelling of 71229312 in words is "seventy-one million, two hundred twenty-nine thousand, three hundred twelve".