72290353 has 6 divisors (see below), whose sum is σ = 74012514. Its totient is φ = 70607376.

The previous prime is 72290333. The next prime is 72290363. The reversal of 72290353 is 35309227.

It can be written as a sum of positive squares in only one way, i.e., 59243809 + 13046544 = 7697^2 + 3612^2 .

It is not a de Polignac number, because 72290353 - 2⁵ = 72290321 is a prime.

It is a super-3 number, since 3×72290353³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72290333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17700 + ... + 21397.

It is an arithmetic number, because the mean of its divisors is an integer number (12335419).

Almost surely, 2^72290353 is an apocalyptic number.

It is an amenable number.

72290353 is a deficient number, since it is larger than the sum of its proper divisors (1722161).

72290353 is an equidigital number, since it uses as much as digits as its factorization.

72290353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39183 (or 39140 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 72290353 is about 8502.3733745349. The cubic root of 72290353 is about 416.5752354761.

The spelling of 72290353 in words is "seventy-two million, two hundred ninety thousand, three hundred fifty-three".