72367578 has 48 divisors (see below), whose sum is σ = 164975616. Its totient is φ = 22894560.

The previous prime is 72367577. The next prime is 72367619. The reversal of 72367578 is 87576327.

72367578 is a `hidden beast` number, since 72 + 3 + 6 + 7 + 578 = 666.

It is not an unprimeable number, because it can be changed into a prime (72367577) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28351 + ... + 30797.

It is an arithmetic number, because the mean of its divisors is an integer number (3436992).

Almost surely, 2^72367578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72367578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82487808).

72367578 is an abundant number, since it is smaller than the sum of its proper divisors (92608038).

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

72367578 is a wasteful number, since it uses less digits than its factorization.

72367578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2536 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 72367578 is about 8506.9135413498. The cubic root of 72367578 is about 416.7235197800.

The spelling of 72367578 in words is "seventy-two million, three hundred sixty-seven thousand, five hundred seventy-eight".