72973476 has 36 divisors (see below), whose sum is σ = 185542812. Its totient is φ = 24181824.

The previous prime is 72973447. The next prime is 72973477. The reversal of 72973476 is 67437927.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27815076 + 45158400 = 5274^2 + 6720^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72973477) 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, 370 + ... + 12086.

It is an arithmetic number, because the mean of its divisors is an integer number (5153967).

Almost surely, 2^72973476 is an apocalyptic number.

It is an amenable number.

72973476 is an abundant number, since it is smaller than the sum of its proper divisors (112569336).

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

72973476 is a wasteful number, since it uses less digits than its factorization.

72973476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900 (or 11895 counting only the distinct ones).

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

The square root of 72973476 is about 8542.4514046028. The cubic root of 72973476 is about 417.8832957927.

The spelling of 72973476 in words is "seventy-two million, nine hundred seventy-three thousand, four hundred seventy-six".