72438912 has 192 divisors, whose sum is σ = 256925760. Its totient is φ = 19077120.

The previous prime is 72438911. The next prime is 72438913. The reversal of 72438912 is 21983427.

It is an interprime number because it is at equal distance from previous prime (72438911) and next prime (72438913).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72438911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104487 + ... + 105177.

It is an arithmetic number, because the mean of its divisors is an integer number (1338155).

Almost surely, 2^72438912 is an apocalyptic number.

72438912 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 72438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128462880).

72438912 is an abundant number, since it is smaller than the sum of its proper divisors (184486848).

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

72438912 is a wasteful number, since it uses less digits than its factorization.

72438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72438912 is about 8511.1052161279. The cubic root of 72438912 is about 416.8603987268.

The spelling of 72438912 in words is "seventy-two million, four hundred thirty-eight thousand, nine hundred twelve".