72427720 has 16 divisors (see below), whose sum is σ = 162962460. Its totient is φ = 28971072.

The previous prime is 72427717. The next prime is 72427721. The reversal of 72427720 is 2772427.

It can be written as a sum of positive squares in 2 ways, for example, as 69122596 + 3305124 = 8314^2 + 1818^2 .

It is not an unprimeable number, because it can be changed into a prime (72427721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 905307 + ... + 905386.

Almost surely, 2^72427720 is an apocalyptic number.

It is an amenable number.

72427720 is an abundant number, since it is smaller than the sum of its proper divisors (90534740).

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

72427720 is a wasteful number, since it uses less digits than its factorization.

72427720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810704 (or 1810700 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 31.

The square root of 72427720 is about 8510.4476968019. The cubic root of 72427720 is about 416.8389289497.

It can be divided in two parts, 724 and 27720, that multiplied together give a triangular number (20069280 = T₆₃₃₅).

The spelling of 72427720 in words is "seventy-two million, four hundred twenty-seven thousand, seven hundred twenty".