72236970 has 96 divisors (see below), whose sum is σ = 209336400. Its totient is φ = 17160192.

The previous prime is 72236959. The next prime is 72236971. The reversal of 72236970 is 7963227.

It can be written as a sum of positive squares in 8 ways, for example, as 11068929 + 61168041 = 3327^2 + 7821^2 .

It is not an unprimeable number, because it can be changed into a prime (72236971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32866 + ... + 34994.

Almost surely, 2^72236970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72236970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104668200).

72236970 is an abundant number, since it is smaller than the sum of its proper divisors (137099430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72236970 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 72236970 = (20237976)₁₂.

72236970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72236970 is about 8499.2334948512. The cubic root of 72236970 is about 416.4726698684.

The spelling of 72236970 in words is "seventy-two million, two hundred thirty-six thousand, nine hundred seventy".