72600726 has 32 divisors (see below), whose sum is σ = 159728256. Its totient is φ = 21997800.

The previous prime is 72600721. The next prime is 72600757. The reversal of 72600726 is 62700627.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72600693 and 72600702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72600721) 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 15 ways as a sum of consecutive naturals, for example, 3441 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (4991508).

Almost surely, 2^72600726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72600726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79864128).

72600726 is an abundant number, since it is smaller than the sum of its proper divisors (87127530).

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

72600726 is a wasteful number, since it uses less digits than its factorization.

72600726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72600726 is about 8520.6059643666. The cubic root of 72600726 is about 417.1705620667.

Subtracting from 72600726 its reverse (62700627), we obtain a palindrome (9900099).

It can be divided in two parts, 72600 and 726, that multiplied together give a square (52707600 = 7260²).

The spelling of 72600726 in words is "seventy-two million, six hundred thousand, seven hundred twenty-six".