72909252 has 72 divisors (see below), whose sum is σ = 203146944. Its totient is φ = 21905856.

The previous prime is 72909233. The next prime is 72909283. The reversal of 72909252 is 25290927.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18313 + ... + 21935.

Almost surely, 2^72909252 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 72909252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101573472).

72909252 is an abundant number, since it is smaller than the sum of its proper divisors (130237692).

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

72909252 is a wasteful number, since it uses less digits than its factorization.

72909252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72909252 is about 8538.6914688376. The cubic root of 72909252 is about 417.7606666973.

It can be divided in two parts, 7290925 and 2, that added together give a palindrome (7290927).

The spelling of 72909252 in words is "seventy-two million, nine hundred nine thousand, two hundred fifty-two".