102572064 has 144 divisors (see below), whose sum is σ = 337925952. Its totient is φ = 28905984.

The previous prime is 102572027. The next prime is 102572117. The reversal of 102572064 is 460275201.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167022 + ... + 167634.

It is an arithmetic number, because the mean of its divisors is an integer number (2346708).

Almost surely, 2^102572064 is an apocalyptic number.

102572064 is a gapful number since it is divisible by the number (14) 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 102572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168962976).

102572064 is an abundant number, since it is smaller than the sum of its proper divisors (235353888).

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

102572064 is a wasteful number, since it uses less digits than its factorization.

102572064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 102572064 is about 10127.7867276123. The cubic root of 102572064 is about 468.1047322038.

It can be divided in two parts, 10257 and 2064, that added together give a palindrome (12321).

The spelling of 102572064 in words is "one hundred two million, five hundred seventy-two thousand, sixty-four".