71740900 has 135 divisors (see below), whose sum is σ = 199202745. Its totient is φ = 22360800.

The previous prime is 71740883. The next prime is 71740919. The reversal of 71740900 is 904717.

The square root of 71740900 is 8470.

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

It can be written as a sum of positive squares in only one way, i.e., 25826724 + 45914176 = 5082^2 + 6776^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 6521895 + ... + 6521905.

Almost surely, 2^71740900 is an apocalyptic number.

71740900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71740900 is the 8470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71740900

71740900 is an abundant number, since it is smaller than the sum of its proper divisors (127461845).

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

71740900 is a wasteful number, since it uses less digits than its factorization.

71740900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The cubic root of 71740900 is about 415.5171372916.

Multiplying 71740900 by its product of nonzero digits (1764), we get a square (126550947600 = 355740²).

The spelling of 71740900 in words is "seventy-one million, seven hundred forty thousand, nine hundred".