71562960 has 160 divisors (see below), whose sum is σ = 281767680. Its totient is φ = 16353792.

The previous prime is 71562941. The next prime is 71562983. The reversal of 71562960 is 6926517.

71562960 is a `hidden beast` number, since 7 + 1 + 562 + 96 + 0 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12754 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (1761048).

Almost surely, 2^71562960 is an apocalyptic number.

71562960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71562960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140883840).

71562960 is an abundant number, since it is smaller than the sum of its proper divisors (210204720).

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

71562960 is a wasteful number, since it uses less digits than its factorization.

71562960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 71562960 is about 8459.4893462904. The cubic root of 71562960 is about 415.1733151349.

The spelling of 71562960 in words is "seventy-one million, five hundred sixty-two thousand, nine hundred sixty".