72000640 has 32 divisors (see below), whose sum is σ = 172128060. Its totient is φ = 28800000.

The previous prime is 72000611. The next prime is 72000641. The reversal of 72000640 is 4600027.

It can be written as a sum of positive squares in 2 ways, for example, as 65157184 + 6843456 = 8072^2 + 2616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72000641) 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, 55611 + ... + 56890.

Almost surely, 2^72000640 is an apocalyptic number.

It is an amenable number.

72000640 is an abundant number, since it is smaller than the sum of its proper divisors (100127420).

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

72000640 is a wasteful number, since it uses less digits than its factorization.

72000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112520 (or 112508 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72000640 is about 8485.3190865164. The cubic root of 72000640 is about 416.0179972490.

Adding to 72000640 its reverse (4600027), we get a palindrome (76600667).

The spelling of 72000640 in words is "seventy-two million, six hundred forty", and thus it is an aban number.