245823072 has 96 divisors (see below), whose sum is σ = 709720704. Its totient is φ = 73881600.

The previous prime is 245823049. The next prime is 245823091. The reversal of 245823072 is 270328542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 137448 + ... + 139224.

It is an arithmetic number, because the mean of its divisors is an integer number (7392924).

Almost surely, 2^245823072 is an apocalyptic number.

245823072 is a gapful number since it is divisible by the number (22) 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 245823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354860352).

245823072 is an abundant number, since it is smaller than the sum of its proper divisors (463897632).

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

245823072 is a wasteful number, since it uses less digits than its factorization.

245823072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 245823072 is about 15678.7458682128. The cubic root of 245823072 is about 626.4324027545.

The spelling of 245823072 in words is "two hundred forty-five million, eight hundred twenty-three thousand, seventy-two".