72536280 has 192 divisors, whose sum is σ = 244516320. Its totient is φ = 17141760.

The previous prime is 72536251. The next prime is 72536291. The reversal of 72536280 is 8263527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960422 + ... + 1960458.

Almost surely, 2^72536280 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 72536280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122258160).

72536280 is an abundant number, since it is smaller than the sum of its proper divisors (171980040).

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

72536280 is a wasteful number, since it uses less digits than its factorization.

72536280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72536280 is about 8516.8233514615. The cubic root of 72536280 is about 417.0470879432.

The spelling of 72536280 in words is "seventy-two million, five hundred thirty-six thousand, two hundred eighty".