72277173 has 12 divisors (see below), whose sum is σ = 105325740. Its totient is φ = 47757696.

The previous prime is 72277141. The next prime is 72277181. The reversal of 72277173 is 37177227.

It can be written as a sum of positive squares in 2 ways, for example, as 400689 + 71876484 = 633^2 + 8478^2 .

It is not a de Polignac number, because 72277173 - 2⁵ = 72277141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72270173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34518 + ... + 36551.

It is an arithmetic number, because the mean of its divisors is an integer number (8777145).

Almost surely, 2^72277173 is an apocalyptic number.

It is an amenable number.

72277173 is a deficient number, since it is larger than the sum of its proper divisors (33048567).

72277173 is a wasteful number, since it uses less digits than its factorization.

72277173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71188 (or 71185 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 72277173 is about 8501.5982615035. The cubic root of 72277173 is about 416.5499172278.

It can be divided in two parts, 7227 and 7173, that added together give a square (14400 = 120²).

The spelling of 72277173 in words is "seventy-two million, two hundred seventy-seven thousand, one hundred seventy-three".