72303192 has 96 divisors (see below), whose sum is σ = 218771280. Its totient is φ = 22239360.

The previous prime is 72303169. The next prime is 72303197. The reversal of 72303192 is 29130327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72303197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23842 + ... + 26702.

Almost surely, 2^72303192 is an apocalyptic number.

72303192 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 72303192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109385640).

72303192 is an abundant number, since it is smaller than the sum of its proper divisors (146468088).

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

72303192 is a wasteful number, since it uses less digits than its factorization.

72303192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72303192 is about 8503.1283654900. The cubic root of 72303192 is about 416.5998957183.

The spelling of 72303192 in words is "seventy-two million, three hundred three thousand, one hundred ninety-two".