102727752 has 64 divisors (see below), whose sum is σ = 270000000. Its totient is φ = 32507904.

The previous prime is 102727741. The next prime is 102727763. The reversal of 102727752 is 257727201.

It is an interprime number because it is at equal distance from previous prime (102727741) and next prime (102727763).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81624 + ... + 82872.

It is an arithmetic number, because the mean of its divisors is an integer number (4218750).

Almost surely, 2^102727752 is an apocalyptic number.

102727752 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 102727752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135000000).

102727752 is an abundant number, since it is smaller than the sum of its proper divisors (167272248).

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

102727752 is a wasteful number, since it uses less digits than its factorization.

102727752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 102727752 is about 10135.4699940358. The cubic root of 102727752 is about 468.3414485352.

The spelling of 102727752 in words is "one hundred two million, seven hundred twenty-seven thousand, seven hundred fifty-two".