72561648 has 40 divisors (see below), whose sum is σ = 187987968. Its totient is φ = 24117952.

The previous prime is 72561647. The next prime is 72561649. The reversal of 72561648 is 84616527.

It is an interprime number because it is at equal distance from previous prime (72561647) and next prime (72561649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72561641) 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 7 ways as a sum of consecutive naturals, for example, 16411 + ... + 20357.

Almost surely, 2^72561648 is an apocalyptic number.

It is an amenable number.

72561648 is an abundant number, since it is smaller than the sum of its proper divisors (115426320).

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

72561648 is a wasteful number, since it uses less digits than its factorization.

72561648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4335 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 72561648 is about 8518.3125089421. The cubic root of 72561648 is about 417.0957000191.

The spelling of 72561648 in words is "seventy-two million, five hundred sixty-one thousand, six hundred forty-eight".