72669084 has 48 divisors (see below), whose sum is σ = 185342976. Its totient is φ = 22060800.

The previous prime is 72669059. The next prime is 72669089. The reversal of 72669084 is 48096627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72669089) 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, 579 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (3861312).

Almost surely, 2^72669084 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 72669084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92671488).

72669084 is an abundant number, since it is smaller than the sum of its proper divisors (112673892).

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

72669084 is a wasteful number, since it uses less digits than its factorization.

72669084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 72669084 is about 8524.6163550039. The cubic root of 72669084 is about 417.3014514824.

The spelling of 72669084 in words is "seventy-two million, six hundred sixty-nine thousand, eighty-four".