102072288 has 48 divisors (see below), whose sum is σ = 274485456. Its totient is φ = 33192960.

The previous prime is 102072277. The next prime is 102072293. The reversal of 102072288 is 882270201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×102072288³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9031 + ... + 16902.

It is an arithmetic number, because the mean of its divisors is an integer number (5718447).

Almost surely, 2^102072288 is an apocalyptic number.

It is an amenable number.

102072288 is an abundant number, since it is smaller than the sum of its proper divisors (172413168).

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

102072288 is a wasteful number, since it uses less digits than its factorization.

102072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25987 (or 25979 counting only the distinct ones).

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

The square root of 102072288 is about 10103.0830937887. The cubic root of 102072288 is about 467.3432236660.

The spelling of 102072288 in words is "one hundred two million, seventy-two thousand, two hundred eighty-eight".