102372000 has 192 divisors, whose sum is σ = 353808000. Its totient is φ = 25804800.

The previous prime is 102371999. The next prime is 102372029. The reversal of 102372000 is 273201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227776 + ... + 228224.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^102372000 is an apocalyptic number.

102372000 is a gapful number since it is divisible by the number (10) 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 102372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

102372000 is an abundant number, since it is smaller than the sum of its proper divisors (251436000).

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

102372000 is a wasteful number, since it uses less digits than its factorization.

102372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 102372000 is about 10117.9049214746. The cubic root of 102372000 is about 467.8001923015.

The spelling of 102372000 in words is "one hundred two million, three hundred seventy-two thousand".