102572928 has 96 divisors (see below), whose sum is σ = 297156600. Its totient is φ = 33960960.

The previous prime is 102572909. The next prime is 102572933. The reversal of 102572928 is 829275201.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 102572892 and 102572901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309723 + ... + 310053.

Almost surely, 2^102572928 is an apocalyptic number.

102572928 is a gapful number since it is divisible by the number (18) 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 102572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148578300).

102572928 is an abundant number, since it is smaller than the sum of its proper divisors (194583672).

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

102572928 is a wasteful number, since it uses less digits than its factorization.

102572928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102572928 is about 10127.8293824491. The cubic root of 102572928 is about 468.1060465362.

The spelling of 102572928 in words is "one hundred two million, five hundred seventy-two thousand, nine hundred twenty-eight".