72726480 has 60 divisors (see below), whose sum is σ = 244242180. Its totient is φ = 19393536.

The previous prime is 72726449. The next prime is 72726481. The reversal of 72726480 is 8462727.

72726480 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 60279696 = 3528^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72726481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49785 + ... + 51224.

It is an arithmetic number, because the mean of its divisors is an integer number (4070703).

Almost surely, 2^72726480 is an apocalyptic number.

It is an amenable number.

72726480 is an abundant number, since it is smaller than the sum of its proper divisors (171515700).

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

72726480 is a wasteful number, since it uses less digits than its factorization.

72726480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101028 (or 101019 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72726480 is about 8527.9821763416. The cubic root of 72726480 is about 417.4112878793.

The spelling of 72726480 in words is "seventy-two million, seven hundred twenty-six thousand, four hundred eighty".