71267364 has 135 divisors (see below), whose sum is σ = 220007403. Its totient is φ = 20058192.

The previous prime is 71267353. The next prime is 71267377. The reversal of 71267364 is 46376217.

The square root of 71267364 is 8442.

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

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1063659 + ... + 1063725.

Almost surely, 2^71267364 is an apocalyptic number.

71267364 is the 8442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71267364

71267364 is an abundant number, since it is smaller than the sum of its proper divisors (148740039).

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

71267364 is a wasteful number, since it uses less digits than its factorization.

71267364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 79 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The cubic root of 71267364 is about 414.6008917613.

Multiplying 71267364 by its sum of digits (36), we get a square (2565625104 = 50652²).

71267364 divided by its sum of digits (36) gives a square (1979649 = 1407²).

It can be divided in two parts, 71267 and 364, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71267364 in words is "seventy-one million, two hundred sixty-seven thousand, three hundred sixty-four".