71267641600 has 243 divisors, whose sum is σ = 182805789481. Its totient is φ = 27507558400.

The previous prime is 71267641597. The next prime is 71267641603. The reversal of 71267641600 is 614676217.

The square root of 71267641600 is 266960.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (71267641597) and next prime (71267641603).

It can be written as a sum of positive squares in only one way, i.e., 25656350976 + 45611290624 = 160176^2 + 213568^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71267641603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1003769565 + ... + 1003769635.

Almost surely, 2^71267641600 is an apocalyptic number.

71267641600 is the 266960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71267641600

71267641600 is an abundant number, since it is smaller than the sum of its proper divisors (111538147881).

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

71267641600 is an frugal number, since it uses more digits than its factorization.

71267641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 71267641600 in words is "seventy-one billion, two hundred sixty-seven million, six hundred forty-one thousand, six hundred".