102072828 has 96 divisors (see below), whose sum is σ = 296352000. Its totient is φ = 26864640.

The previous prime is 102072823. The next prime is 102072833. The reversal of 102072828 is 828270201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102072823) and next prime (102072833).

It is a junction number, because it is equal to n+sod(n) for n = 102072795 and 102072804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102072823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27423 + ... + 30921.

It is an arithmetic number, because the mean of its divisors is an integer number (3087000).

Almost surely, 2^102072828 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 102072828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

102072828 is an abundant number, since it is smaller than the sum of its proper divisors (194279172).

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

102072828 is a wasteful number, since it uses less digits than its factorization.

102072828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 102072828 is about 10103.1098182688. The cubic root of 102072828 is about 467.3440478038.

The spelling of 102072828 in words is "one hundred two million, seventy-two thousand, eight hundred twenty-eight".