72369872 has 40 divisors (see below), whose sum is σ = 147252480. Its totient is φ = 34410240.

The previous prime is 72369863. The next prime is 72369887. The reversal of 72369872 is 27896327.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28028 + ... + 30500.

It is an arithmetic number, because the mean of its divisors is an integer number (3681312).

Almost surely, 2^72369872 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 72369872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73626240).

72369872 is an abundant number, since it is smaller than the sum of its proper divisors (74882608).

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

72369872 is a wasteful number, since it uses less digits than its factorization.

72369872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 72369872 is about 8507.0483717915. The cubic root of 72369872 is about 416.7279230117.

The spelling of 72369872 in words is "seventy-two million, three hundred sixty-nine thousand, eight hundred seventy-two".