72567404 has 96 divisors (see below), whose sum is σ = 165580800. Its totient is φ = 27060480.

The previous prime is 72567401. The next prime is 72567409. The reversal of 72567404 is 40476527.

It is not an unprimeable number, because it can be changed into a prime (72567401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665702 + ... + 665810.

It is an arithmetic number, because the mean of its divisors is an integer number (1724800).

Almost surely, 2^72567404 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 72567404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82790400).

72567404 is an abundant number, since it is smaller than the sum of its proper divisors (93013396).

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

72567404 is a wasteful number, since it uses less digits than its factorization.

72567404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 72567404 is about 8518.6503625868. The cubic root of 72567404 is about 417.1067285235.

The spelling of 72567404 in words is "seventy-two million, five hundred sixty-seven thousand, four hundred four".