72452952 has 192 divisors, whose sum is σ = 239016960. Its totient is φ = 19526400.

The previous prime is 72452917. The next prime is 72452953. The reversal of 72452952 is 25925427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72452953) 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 47 ways as a sum of consecutive naturals, for example, 319063 + ... + 319289.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^72452952 is an apocalyptic number.

72452952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72452952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

72452952 is an abundant number, since it is smaller than the sum of its proper divisors (166564008).

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

72452952 is a wasteful number, since it uses less digits than its factorization.

72452952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 72452952 is about 8511.9299809150. The cubic root of 72452952 is about 416.8873287370.

The spelling of 72452952 in words is "seventy-two million, four hundred fifty-two thousand, nine hundred fifty-two".