72293271 has 32 divisors (see below), whose sum is σ = 105799680. Its totient is φ = 43740000.

The previous prime is 72293261. The next prime is 72293321. The reversal of 72293271 is 17239227.

It is not a de Polignac number, because 72293271 - 2²³ = 63904663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72293251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287896 + ... + 288146.

It is an arithmetic number, because the mean of its divisors is an integer number (3306240).

Almost surely, 2^72293271 is an apocalyptic number.

72293271 is a deficient number, since it is larger than the sum of its proper divisors (33506409).

72293271 is a wasteful number, since it uses less digits than its factorization.

72293271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its digits is 10584, while the sum is 33.

The square root of 72293271 is about 8502.5449719481. The cubic root of 72293271 is about 416.5808404202.

It can be divided in two parts, 722932 and 71, that added together give a triangular number (723003 = T₁₂₀₂).

The spelling of 72293271 in words is "seventy-two million, two hundred ninety-three thousand, two hundred seventy-one".