72538578 has 80 divisors (see below), whose sum is σ = 189851904. Its totient is φ = 20269440.

The previous prime is 72538559. The next prime is 72538589. The reversal of 72538578 is 87583527.

72538578 is a `hidden beast` number, since 72 + 5 + 3 + 8 + 578 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 52618 + ... + 53978.

Almost surely, 2^72538578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72538578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94925952).

72538578 is an abundant number, since it is smaller than the sum of its proper divisors (117313326).

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

72538578 is a wasteful number, since it uses less digits than its factorization.

72538578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1420 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 72538578 is about 8516.9582598484. The cubic root of 72538578 is about 417.0514920110.

The spelling of 72538578 in words is "seventy-two million, five hundred thirty-eight thousand, five hundred seventy-eight".