72233028 has 144 divisors (see below), whose sum is σ = 219541504. Its totient is φ = 19595520.

The previous prime is 72233027. The next prime is 72233033. The reversal of 72233028 is 82033227.

It is a super-2 number, since 2×72233028² = 10435220668097568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72232992 and 72233010.

It is not an unprimeable number, because it can be changed into a prime (72233027) 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, 568701 + ... + 568827.

Almost surely, 2^72233028 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 72233028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109770752).

72233028 is an abundant number, since it is smaller than the sum of its proper divisors (147308476).

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

72233028 is a wasteful number, since it uses less digits than its factorization.

72233028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72233028 is about 8499.0015884220. The cubic root of 72233028 is about 416.4650940378.

Subtracting from 72233028 its sum of digits (27), we obtain a square (72233001 = 8499²).

The spelling of 72233028 in words is "seventy-two million, two hundred thirty-three thousand, twenty-eight".