72560640 has 104 divisors (see below), whose sum is σ = 232362288. Its totient is φ = 19333120.

The previous prime is 72560617. The next prime is 72560647. The reversal of 72560640 is 4606527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72560598 and 72560607.

It is not an unprimeable number, because it can be changed into a prime (72560647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60850 + ... + 62030.

Almost surely, 2^72560640 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 72560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116181144).

72560640 is an abundant number, since it is smaller than the sum of its proper divisors (159801648).

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

72560640 is a wasteful number, since it uses less digits than its factorization.

72560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72560640 is about 8518.2533420884. The cubic root of 72560640 is about 417.0937686296.

The spelling of 72560640 in words is "seventy-two million, five hundred sixty thousand, six hundred forty".