72415249 has 2 divisors, whose sum is σ = 72415250. Its totient is φ = 72415248.

The previous prime is 72415241. The next prime is 72415261. The reversal of 72415249 is 94251427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67125249 + 5290000 = 8193^2 + 2300^2 .

It is an emirp because it is prime and its reverse (94251427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72415249 - 2³ = 72415241 is a prime.

It is not a weakly prime, because it can be changed into another prime (72415241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36207624 + 36207625.

It is an arithmetic number, because the mean of its divisors is an integer number (36207625).

Almost surely, 2^72415249 is an apocalyptic number.

It is an amenable number.

72415249 is a deficient number, since it is larger than the sum of its proper divisors (1).

72415249 is an equidigital number, since it uses as much as digits as its factorization.

72415249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 34.

The square root of 72415249 is about 8509.7149776006. The cubic root of 72415249 is about 416.8150030427.

It can be divided in two parts, 724152 and 49, that added together give a square (724201 = 851²).

The spelling of 72415249 in words is "seventy-two million, four hundred fifteen thousand, two hundred forty-nine".