145647072 has 120 divisors (see below), whose sum is σ = 434145096. Its totient is φ = 47893248.

The previous prime is 145647071. The next prime is 145647101. The reversal of 145647072 is 270746541.

145647072 is a `hidden beast` number, since 1 + 4 + 5 + 647 + 0 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145647071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214798 + ... + 215474.

Almost surely, 2^145647072 is an apocalyptic number.

145647072 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 145647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217072548).

145647072 is an abundant number, since it is smaller than the sum of its proper divisors (288498024).

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

145647072 is an equidigital number, since it uses as much as digits as its factorization.

145647072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 145647072 is about 12068.4328725813. The cubic root of 145647072 is about 526.1391103196.

The spelling of 145647072 in words is "one hundred forty-five million, six hundred forty-seven thousand, seventy-two".