72962232 has 128 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 19243008.

The previous prime is 72962221. The next prime is 72962237. The reversal of 72962232 is 23226927.

It is a junction number, because it is equal to n+sod(n) for n = 72962193 and 72962202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72962237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168288 + ... + 168720.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^72962232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72962232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

72962232 is an abundant number, since it is smaller than the sum of its proper divisors (152023368).

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

72962232 is a wasteful number, since it uses less digits than its factorization.

72962232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 72962232 is about 8541.7932543465. The cubic root of 72962232 is about 417.8618317331.

The spelling of 72962232 in words is "seventy-two million, nine hundred sixty-two thousand, two hundred thirty-two".