145766272 has 64 divisors (see below), whose sum is σ = 307958400. Its totient is φ = 68580864.

The previous prime is 145766261. The next prime is 145766281. The reversal of 145766272 is 272667541.

It is a tau number, because it is divible by the number of its divisors (64).

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, 196879 + ... + 197617.

It is an arithmetic number, because the mean of its divisors is an integer number (4811850).

Almost surely, 2^145766272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153979200).

145766272 is an abundant number, since it is smaller than the sum of its proper divisors (162192128).

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

145766272 is an equidigital number, since it uses as much as digits as its factorization.

145766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 145766272 is about 12073.3703662233. The cubic root of 145766272 is about 526.2826048635.

The spelling of 145766272 in words is "one hundred forty-five million, seven hundred sixty-six thousand, two hundred seventy-two".