72947673 has 24 divisors (see below), whose sum is σ = 109504200. Its totient is φ = 46738944.

The previous prime is 72947671. The next prime is 72947687. The reversal of 72947673 is 37674927.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1172889 + 71774784 = 1083^2 + 8472^2 .

It is not a de Polignac number, because 72947673 - 2¹ = 72947671 is a prime.

It is a super-3 number, since 3×72947673³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (72947671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71793 + ... + 72801.

It is an arithmetic number, because the mean of its divisors is an integer number (4562675).

Almost surely, 2^72947673 is an apocalyptic number.

It is an amenable number.

72947673 is a deficient number, since it is larger than the sum of its proper divisors (36556527).

72947673 is a wasteful number, since it uses less digits than its factorization.

72947673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1318 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 72947673 is about 8540.9409903125. The cubic root of 72947673 is about 417.8340362790.

The spelling of 72947673 in words is "seventy-two million, nine hundred forty-seven thousand, six hundred seventy-three".