72489672 has 48 divisors (see below), whose sum is σ = 196794780. Its totient is φ = 24105600.

The previous prime is 72489671. The next prime is 72489673. The reversal of 72489672 is 27698427.

It is an interprime number because it is at equal distance from previous prime (72489671) and next prime (72489673).

It can be written as a sum of positive squares in 2 ways, for example, as 60000516 + 12489156 = 7746^2 + 3534^2 .

It is not an unprimeable number, because it can be changed into a prime (72489671) 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, 38022 + ... + 39882.

Almost surely, 2^72489672 is an apocalyptic number.

72489672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72489672 is an abundant number, since it is smaller than the sum of its proper divisors (124305108).

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

72489672 is a wasteful number, since it uses less digits than its factorization.

72489672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2407 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72489672 is about 8514.0866803199. The cubic root of 72489672 is about 416.9577446271.

The spelling of 72489672 in words is "seventy-two million, four hundred eighty-nine thousand, six hundred seventy-two".