72772153 has 2 divisors, whose sum is σ = 72772154. Its totient is φ = 72772152.

The previous prime is 72772123. The next prime is 72772177. The reversal of 72772153 is 35127727.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72726784 + 45369 = 8528^2 + 213^2 .

It is an emirp because it is prime and its reverse (35127727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72772153 - 2⁹ = 72771641 is a prime.

It is not a weakly prime, because it can be changed into another prime (72772123) 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 as a sum of consecutive naturals, namely, 36386076 + 36386077.

It is an arithmetic number, because the mean of its divisors is an integer number (36386077).

Almost surely, 2^72772153 is an apocalyptic number.

It is an amenable number.

72772153 is a deficient number, since it is larger than the sum of its proper divisors (1).

72772153 is an equidigital number, since it uses as much as digits as its factorization.

72772153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20580, while the sum is 34.

The square root of 72772153 is about 8530.6595876286. The cubic root of 72772153 is about 417.4986491644.

The spelling of 72772153 in words is "seventy-two million, seven hundred seventy-two thousand, one hundred fifty-three".