72740180 has 24 divisors (see below), whose sum is σ = 153288072. Its totient is φ = 28994432.

The previous prime is 72740179. The next prime is 72740201. The reversal of 72740180 is 8104727.

It can be written as a sum of positive squares in 4 ways, for example, as 16370116 + 56370064 = 4046^2 + 7508^2 .

It is a super-2 number, since 2×72740180² = 10582267572864800, which contains 22 as substring.

It is a congruent number.

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, 347 + ... + 12066.

It is an arithmetic number, because the mean of its divisors is an integer number (6387003).

Almost surely, 2^72740180 is an apocalyptic number.

It is an amenable number.

72740180 is an abundant number, since it is smaller than the sum of its proper divisors (80547892).

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

72740180 is a wasteful number, since it uses less digits than its factorization.

72740180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12715 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 72740180 is about 8528.7853765938. The cubic root of 72740180 is about 417.4374964698.

The spelling of 72740180 in words is "seventy-two million, seven hundred forty thousand, one hundred eighty".