102262272 has 80 divisors (see below), whose sum is σ = 311384832. Its totient is φ = 29214720.

The previous prime is 102262267. The next prime is 102262289. The reversal of 102262272 is 272262201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

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, 5997 + ... + 15507.

Almost surely, 2^102262272 is an apocalyptic number.

102262272 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 102262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692416).

102262272 is an abundant number, since it is smaller than the sum of its proper divisors (209122560).

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

102262272 is an frugal number, since it uses more digits than its factorization.

102262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 102262272 is about 10112.4810012182. The cubic root of 102262272 is about 467.6329944669.

The spelling of 102262272 in words is "one hundred two million, two hundred sixty-two thousand, two hundred seventy-two".