102572532 has 36 divisors (see below), whose sum is σ = 259598976. Its totient is φ = 34148880.

The previous prime is 102572531. The next prime is 102572551. The reversal of 102572532 is 235275201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102572532² = 21042248641782048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102572496 and 102572505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102572531) 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 11 ways as a sum of consecutive naturals, for example, 45373 + ... + 47579.

Almost surely, 2^102572532 is an apocalyptic number.

102572532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102572532 is an abundant number, since it is smaller than the sum of its proper divisors (157026444).

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

102572532 is a wasteful number, since it uses less digits than its factorization.

102572532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 102572532 is about 10127.8098323379. The cubic root of 102572532 is about 468.1054441347.

The spelling of 102572532 in words is "one hundred two million, five hundred seventy-two thousand, five hundred thirty-two".