72371352 has 64 divisors (see below), whose sum is σ = 187246080. Its totient is φ = 23295872.

The previous prime is 72371309. The next prime is 72371357. The reversal of 72371352 is 25317327.

It is a super-2 number, since 2×72371352² = 10475225180615808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72371357) 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, 93238 + ... + 94010.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2^72371352 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 72371352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623040).

72371352 is an abundant number, since it is smaller than the sum of its proper divisors (114874728).

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

72371352 is a wasteful number, since it uses less digits than its factorization.

72371352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 72371352 is about 8507.1353580392. The cubic root of 72371352 is about 416.7307637570.

Adding to 72371352 its reverse (25317327), we get a palindrome (97688679).

The spelling of 72371352 in words is "seventy-two million, three hundred seventy-one thousand, three hundred fifty-two".