72386028 has 192 divisors, whose sum is σ = 227673600. Its totient is φ = 19595520.

The previous prime is 72386011. The next prime is 72386053. The reversal of 72386028 is 82068327.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 72385983 and 72386001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 664038 + ... + 664146.

It is an arithmetic number, because the mean of its divisors is an integer number (1185800).

Almost surely, 2^72386028 is an apocalyptic number.

72386028 is a gapful number since it is divisible by the number (78) 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 72386028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836800).

72386028 is an abundant number, since it is smaller than the sum of its proper divisors (155287572).

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

72386028 is a wasteful number, since it uses less digits than its factorization.

72386028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72386028 is about 8507.9978843439. The cubic root of 72386028 is about 416.7589311057.

Adding to 72386028 its sum of digits (36), we get a square (72386064 = 8508²).

The spelling of 72386028 in words is "seventy-two million, three hundred eighty-six thousand, twenty-eight".