72037305 has 24 divisors (see below), whose sum is σ = 129172680. Its totient is φ = 37094400.

The previous prime is 72037291. The next prime is 72037307. The reversal of 72037305 is 50373027.

It can be written as a sum of positive squares in 4 ways, for example, as 59049 + 71978256 = 243^2 + 8484^2 .

It is not a de Polignac number, because 72037305 - 2¹⁸ = 71775161 is a prime.

It is a super-3 number, since 3×72037305³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72037307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26296 + ... + 28905.

It is an arithmetic number, because the mean of its divisors is an integer number (5382195).

Almost surely, 2^72037305 is an apocalyptic number.

It is an amenable number.

72037305 is a deficient number, since it is larger than the sum of its proper divisors (57135375).

72037305 is a wasteful number, since it uses less digits than its factorization.

72037305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55241 (or 55238 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 72037305 is about 8487.4793077804. The cubic root of 72037305 is about 416.0886017670.

It can be divided in two parts, 720 and 37305, that added together give a square (38025 = 195²).

The spelling of 72037305 in words is "seventy-two million, thirty-seven thousand, three hundred five".