72233952 has 96 divisors (see below), whose sum is σ = 229485312. Its totient is φ = 19421184.

The previous prime is 72233947. The next prime is 72233957. The reversal of 72233952 is 25933227.

It is an interprime number because it is at equal distance from previous prime (72233947) and next prime (72233957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72233957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8263 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2^72233952 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 72233952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742656).

72233952 is an abundant number, since it is smaller than the sum of its proper divisors (157251360).

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

72233952 is a wasteful number, since it uses less digits than its factorization.

72233952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6352 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 72233952 is about 8499.0559475744. The cubic root of 72233952 is about 416.4668698280.

It can be divided in two parts, 7223 and 3952, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 72233952 in words is "seventy-two million, two hundred thirty-three thousand, nine hundred fifty-two".