71751600 has 180 divisors, whose sum is σ = 262353000. Its totient is φ = 18109440.

The previous prime is 71751583. The next prime is 71751601. The reversal of 71751600 is 615717.

71751600 is a `hidden beast` number, since 7 + 1 + 7 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (71751601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 67876 + ... + 68924.

Almost surely, 2^71751600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71751600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131176500).

71751600 is an abundant number, since it is smaller than the sum of its proper divisors (190601400).

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

71751600 is a wasteful number, since it uses less digits than its factorization.

71751600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 71751600 is about 8470.6316175360. The cubic root of 71751600 is about 415.5377940920.

The spelling of 71751600 in words is "seventy-one million, seven hundred fifty-one thousand, six hundred".