71465328900 has 729 divisors, whose sum is σ = 279178484949. Its totient is φ = 15244225920.

The previous prime is 71465328887. The next prime is 71465328941. The reversal of 71465328900 is 982356417.

The square root of 71465328900 is 267330.

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

71465328900 is a `hidden beast` number, since 71 + 46 + 532 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25727518404 + 45737810496 = 160398^2 + 213864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 242 ways as a sum of consecutive naturals, for example, 1066646667 + ... + 1066646733.

It is a 3-persistent number, because k⋅71465328900 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^71465328900 is an apocalyptic number.

71465328900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71465328900 is the 267330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71465328900

71465328900 is an abundant number, since it is smaller than the sum of its proper divisors (207713156049).

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

71465328900 is a wasteful number, since it uses less digits than its factorization.

71465328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 71465328900 in words is "seventy-one billion, four hundred sixty-five million, three hundred twenty-eight thousand, nine hundred".