102375072 has 72 divisors (see below), whose sum is σ = 292215924. Its totient is φ = 33997824.

The previous prime is 102375067. The next prime is 102375083. The reversal of 102375072 is 270573201.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 41616 = 10116^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106948 + ... + 107900.

Almost surely, 2^102375072 is an apocalyptic number.

102375072 is a gapful number since it is divisible by the number (12) 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 102375072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146107962).

102375072 is an abundant number, since it is smaller than the sum of its proper divisors (189840852).

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

102375072 is a wasteful number, since it uses less digits than its factorization.

102375072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 102375072 is about 10118.0567304201. The cubic root of 102375072 is about 467.8048715361.

The spelling of 102375072 in words is "one hundred two million, three hundred seventy-five thousand, seventy-two".