71248603272 has 576 divisors, whose sum is σ = 243695793600. Its totient is φ = 17291957760.

The previous prime is 71248603243. The next prime is 71248603313. The reversal of 71248603272 is 27230684217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 976008228 + ... + 976008300.

It is an arithmetic number, because the mean of its divisors is an integer number (423082975).

Almost surely, 2^71248603272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71248603272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121847896800).

71248603272 is an abundant number, since it is smaller than the sum of its proper divisors (172447190328).

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

71248603272 is a wasteful number, since it uses less digits than its factorization.

71248603272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 71248603272 in words is "seventy-one billion, two hundred forty-eight million, six hundred three thousand, two hundred seventy-two".