72828672 has 288 divisors, whose sum is σ = 251166720. Its totient is φ = 18247680.

The previous prime is 72828661. The next prime is 72828683. The reversal of 72828672 is 27682827.

It is an interprime number because it is at equal distance from previous prime (72828661) and next prime (72828683).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349297 + ... + 2349327.

Almost surely, 2^72828672 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 72828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125583360).

72828672 is an abundant number, since it is smaller than the sum of its proper divisors (178338048).

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

72828672 is a wasteful number, since it uses less digits than its factorization.

72828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 72828672 is about 8533.9716427933. The cubic root of 72828672 is about 417.6067056072.

The spelling of 72828672 in words is "seventy-two million, eight hundred twenty-eight thousand, six hundred seventy-two".