71025334272 has 384 divisors, whose sum is σ = 224995680000. Its totient is φ = 22072393728.

The previous prime is 71025334241. The next prime is 71025334279. The reversal of 71025334272 is 27243352017.

71025334272 is a `hidden beast` number, since 7 + 10 + 2 + 533 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71025334279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70391304 + ... + 70392312.

It is an arithmetic number, because the mean of its divisors is an integer number (585926250).

Almost surely, 2^71025334272 is an apocalyptic number.

71025334272 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 71025334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112497840000).

71025334272 is an abundant number, since it is smaller than the sum of its proper divisors (153970345728).

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

71025334272 is a wasteful number, since it uses less digits than its factorization.

71025334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 71025334272 its reverse (27243352017), we get a palindrome (98268686289).

The spelling of 71025334272 in words is "seventy-one billion, twenty-five million, three hundred thirty-four thousand, two hundred seventy-two".