72268560 has 240 divisors, whose sum is σ = 298980864. Its totient is φ = 15234048.

The previous prime is 72268541. The next prime is 72268561. The reversal of 72268560 is 6586227.

72268560 is a `hidden beast` number, since 72 + 26 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (72268561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64969 + ... + 66071.

Almost surely, 2^72268560 is an apocalyptic number.

72268560 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 72268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149490432).

72268560 is an abundant number, since it is smaller than the sum of its proper divisors (226712304).

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

72268560 is a wasteful number, since it uses less digits than its factorization.

72268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72268560 is about 8501.0916946002. The cubic root of 72268560 is about 416.5333703393.

The spelling of 72268560 in words is "seventy-two million, two hundred sixty-eight thousand, five hundred sixty".