145582272 has 336 divisors, whose sum is σ = 505919232. Its totient is φ = 41057280.

The previous prime is 145582243. The next prime is 145582277. The reversal of 145582272 is 272285541.

It is a happy number.

145582272 is a `hidden beast` number, since 1 + 4 + 5 + 582 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145582277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934638 + ... + 3934674.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^145582272 is an apocalyptic number.

145582272 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 145582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

145582272 is an abundant number, since it is smaller than the sum of its proper divisors (360336960).

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

145582272 is a wasteful number, since it uses less digits than its factorization.

145582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 145582272 is about 12065.7478839896. The cubic root of 145582272 is about 526.0610703669.

The spelling of 145582272 in words is "one hundred forty-five million, five hundred eighty-two thousand, two hundred seventy-two".