71214528672 has 576 divisors, whose sum is σ = 257713142400. Its totient is φ = 19258477056.

The previous prime is 71214528659. The next prime is 71214528677. The reversal of 71214528672 is 27682541217.

71214528672 is a `hidden beast` number, since 7 + 121 + 452 + 8 + 6 + 72 = 666.

It is a super-2 number, since 2×71214528672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71214528677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65154558 + ... + 65155650.

It is an arithmetic number, because the mean of its divisors is an integer number (447418650).

Almost surely, 2^71214528672 is an apocalyptic number.

71214528672 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 71214528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128856571200).

71214528672 is an abundant number, since it is smaller than the sum of its proper divisors (186498613728).

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

71214528672 is a wasteful number, since it uses less digits than its factorization.

71214528672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1124 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 71214528672 in words is "seventy-one billion, two hundred fourteen million, five hundred twenty-eight thousand, six hundred seventy-two".