72567040 has 216 divisors, whose sum is σ = 220200120. Its totient is φ = 22708224.

The previous prime is 72566993. The next prime is 72567049. The reversal of 72567040 is 4076527.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 72454144 = 336^2 + 8512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72566993 and 72567011.

It is not an unprimeable number, because it can be changed into a prime (72567049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815316 + ... + 815404.

It is an arithmetic number, because the mean of its divisors is an integer number (1019445).

Almost surely, 2^72567040 is an apocalyptic number.

72567040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110100060).

72567040 is an abundant number, since it is smaller than the sum of its proper divisors (147633080).

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

72567040 is a wasteful number, since it uses less digits than its factorization.

72567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 72567040 is about 8518.6289976733. The cubic root of 72567040 is about 417.1060311162.

The spelling of 72567040 in words is "seventy-two million, five hundred sixty-seven thousand, forty".