72407673 has 12 divisors (see below), whose sum is σ = 112634340. Its totient is φ = 44558496.

The previous prime is 72407669. The next prime is 72407701. The reversal of 72407673 is 37670427.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 60793209 = 3408^2 + 7797^2 .

It is not a de Polignac number, because 72407673 - 2² = 72407669 is a prime.

It is a super-2 number, since 2×72407673² = 10485742218549858, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72407603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309318 + ... + 309551.

It is an arithmetic number, because the mean of its divisors is an integer number (9386195).

Almost surely, 2^72407673 is an apocalyptic number.

It is an amenable number.

72407673 is a deficient number, since it is larger than the sum of its proper divisors (40226667).

72407673 is a wasteful number, since it uses less digits than its factorization.

72407673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618888 (or 618885 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 72407673 is about 8509.2698276644. The cubic root of 72407673 is about 416.8004669671.

The spelling of 72407673 in words is "seventy-two million, four hundred seven thousand, six hundred seventy-three".