72529212 has 144 divisors (see below), whose sum is σ = 213276672. Its totient is φ = 19071360.

The previous prime is 72529199. The next prime is 72529229. The reversal of 72529212 is 21292527.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72529212.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 419158 + ... + 419330.

It is an arithmetic number, because the mean of its divisors is an integer number (1481088).

Almost surely, 2^72529212 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 72529212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106638336).

72529212 is an abundant number, since it is smaller than the sum of its proper divisors (140747460).

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

72529212 is a wasteful number, since it uses less digits than its factorization.

72529212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 72529212 is about 8516.4083979105. The cubic root of 72529212 is about 417.0335416895.

The spelling of 72529212 in words is "seventy-two million, five hundred twenty-nine thousand, two hundred twelve".