72673540 has 24 divisors (see below), whose sum is σ = 154129752. Its totient is φ = 28780800.

The previous prime is 72673529. The next prime is 72673553. The reversal of 72673540 is 4537627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46212804 + 26460736 = 6798^2 + 5144^2 .

It is a super-2 number, since 2×72673540² = 10562886832263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72673496 and 72673505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15969 + ... + 20008.

It is an arithmetic number, because the mean of its divisors is an integer number (6422073).

Almost surely, 2^72673540 is an apocalyptic number.

It is an amenable number.

72673540 is an abundant number, since it is smaller than the sum of its proper divisors (81456212).

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

72673540 is a wasteful number, since it uses less digits than its factorization.

72673540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36087 (or 36085 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72673540 is about 8524.8777117329. The cubic root of 72673540 is about 417.3099808192.

The spelling of 72673540 in words is "seventy-two million, six hundred seventy-three thousand, five hundred forty".