72726160 has 40 divisors (see below), whose sum is σ = 182097720. Its totient is φ = 26852352.

The previous prime is 72726149. The next prime is 72726163. The reversal of 72726160 is 6162727.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 70023424 = 1644^2 + 8368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (72726163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33925 + ... + 36004.

It is an arithmetic number, because the mean of its divisors is an integer number (4552443).

Almost surely, 2^72726160 is an apocalyptic number.

It is an amenable number.

72726160 is an abundant number, since it is smaller than the sum of its proper divisors (109371560).

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

72726160 is a wasteful number, since it uses less digits than its factorization.

72726160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69955 (or 69949 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72726160 is about 8527.9634145557. The cubic root of 72726160 is about 417.4106756685.

Adding to 72726160 its reverse (6162727), we get a palindrome (78888887).

The spelling of 72726160 in words is "seventy-two million, seven hundred twenty-six thousand, one hundred sixty".