72567726 has 96 divisors (see below), whose sum is σ = 194037120. Its totient is φ = 17841600.

The previous prime is 72567701. The next prime is 72567797. The reversal of 72567726 is 62776527.

It is a super-2 number, since 2×72567726² = 10532149713622152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60856 + ... + 62036.

It is an arithmetic number, because the mean of its divisors is an integer number (2021220).

Almost surely, 2^72567726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72567726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97018560).

72567726 is an abundant number, since it is smaller than the sum of its proper divisors (121469394).

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

72567726 is a wasteful number, since it uses less digits than its factorization.

72567726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 72567726 is about 8518.6692622733. The cubic root of 72567726 is about 417.1073454588.

The spelling of 72567726 in words is "seventy-two million, five hundred sixty-seven thousand, seven hundred twenty-six".