72602560 has 56 divisors (see below), whose sum is σ = 174741840. Its totient is φ = 28729344.

The previous prime is 72602557. The next prime is 72602561. The reversal of 72602560 is 6520627.

It is a super-2 number, since 2×72602560² = 10542263437107200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72602561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29871 + ... + 32209.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^72602560 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 72602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370920).

72602560 is an abundant number, since it is smaller than the sum of its proper divisors (102139280).

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

72602560 is a wasteful number, since it uses less digits than its factorization.

72602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72602560 is about 8520.7135851406. The cubic root of 72602560 is about 417.1740748157.

The spelling of 72602560 in words is "seventy-two million, six hundred two thousand, five hundred sixty".