72872352 has 96 divisors (see below), whose sum is σ = 242928000. Its totient is φ = 20818944.

The previous prime is 72872339. The next prime is 72872377. The reversal of 72872352 is 25327827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 24 + ... + 12072.

It is an arithmetic number, because the mean of its divisors is an integer number (2530500).

Almost surely, 2^72872352 is an apocalyptic number.

72872352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121464000).

72872352 is an abundant number, since it is smaller than the sum of its proper divisors (170055648).

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

72872352 is a wasteful number, since it uses less digits than its factorization.

72872352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075 (or 12061 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72872352 is about 8536.5304427501. The cubic root of 72872352 is about 417.6901773811.

The spelling of 72872352 in words is "seventy-two million, eight hundred seventy-two thousand, three hundred fifty-two".