72048973 has 2 divisors, whose sum is σ = 72048974. Its totient is φ = 72048972.

The previous prime is 72048961. The next prime is 72048983. The reversal of 72048973 is 37984027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56580484 + 15468489 = 7522^2 + 3933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72048973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72048923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36024486 + 36024487.

It is an arithmetic number, because the mean of its divisors is an integer number (36024487).

Almost surely, 2^72048973 is an apocalyptic number.

It is an amenable number.

72048973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72048973 is an equidigital number, since it uses as much as digits as its factorization.

72048973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 72048973 is about 8488.1666453952. The cubic root of 72048973 is about 416.1110654044. Note that the first 3 decimals are identical.

The spelling of 72048973 in words is "seventy-two million, forty-eight thousand, nine hundred seventy-three".