72572132 has 36 divisors (see below), whose sum is σ = 133732368. Its totient is φ = 34440000.

The previous prime is 72572117. The next prime is 72572141. The reversal of 72572132 is 23127527.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72572095 and 72572104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289007 + ... + 289257.

It is an arithmetic number, because the mean of its divisors is an integer number (3714788).

Almost surely, 2^72572132 is an apocalyptic number.

It is an amenable number.

72572132 is a deficient number, since it is larger than the sum of its proper divisors (61160236).

72572132 is a wasteful number, since it uses less digits than its factorization.

72572132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 337 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 72572132 is about 8518.9278668152. The cubic root of 72572132 is about 417.1157869422.

Adding to 72572132 its reverse (23127527), we get a palindrome (95699659).

The spelling of 72572132 in words is "seventy-two million, five hundred seventy-two thousand, one hundred thirty-two".