65587072 has 32 divisors (see below), whose sum is σ = 134884800. Its totient is φ = 31733760.

The previous prime is 65587033. The next prime is 65587073. The reversal of 65587072 is 27078556.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65587073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4297 + ... + 12232.

It is an arithmetic number, because the mean of its divisors is an integer number (4215150).

Almost surely, 2^65587072 is an apocalyptic number.

65587072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

65587072 is an abundant number, since it is smaller than the sum of its proper divisors (69297728).

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

65587072 is a wasteful number, since it uses less digits than its factorization.

65587072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16574 (or 16562 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 65587072 is about 8098.5845676884. The cubic root of 65587072 is about 403.2794397099.

The spelling of 65587072 in words is "sixty-five million, five hundred eighty-seven thousand, seventy-two".