72388992 has 128 divisors (see below), whose sum is σ = 219512160. Its totient is φ = 20938752.

The previous prime is 72388991. The next prime is 72389003. The reversal of 72388992 is 29988327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72388991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84438 + ... + 85290.

Almost surely, 2^72388992 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 72388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109756080).

72388992 is an abundant number, since it is smaller than the sum of its proper divisors (147123168).

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

72388992 is a wasteful number, since it uses less digits than its factorization.

72388992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 72388992 is about 8508.1720716027. The cubic root of 72388992 is about 416.7646193886.

The spelling of 72388992 in words is "seventy-two million, three hundred eighty-eight thousand, nine hundred ninety-two".