72125352 has 96 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 22032000.

The previous prime is 72125351. The next prime is 72125353. The reversal of 72125352 is 25352127.

It is an interprime number because it is at equal distance from previous prime (72125351) and next prime (72125353).

It is a super-2 number, since 2×72125352² = 10404132802247808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72125351) 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 23 ways as a sum of consecutive naturals, for example, 234783 + ... + 235089.

It is an arithmetic number, because the mean of its divisors is an integer number (2207205).

Almost surely, 2^72125352 is an apocalyptic number.

72125352 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 72125352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

72125352 is an abundant number, since it is smaller than the sum of its proper divisors (139766328).

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

72125352 is a wasteful number, since it uses less digits than its factorization.

72125352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 72125352 is about 8492.6645995235. The cubic root of 72125352 is about 416.2580530325.

Adding to 72125352 its reverse (25352127), we get a palindrome (97477479).

The spelling of 72125352 in words is "seventy-two million, one hundred twenty-five thousand, three hundred fifty-two".