146430072 has 64 divisors (see below), whose sum is σ = 409344000. Its totient is φ = 48498912.

The previous prime is 146430071. The next prime is 146430079. The reversal of 146430072 is 270034641.

146430072 is a `hidden beast` number, since 14 + 643 + 0 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146430071) 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 15 ways as a sum of consecutive naturals, for example, 33129 + ... + 37287.

It is an arithmetic number, because the mean of its divisors is an integer number (6396000).

Almost surely, 2^146430072 is an apocalyptic number.

146430072 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 146430072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204672000).

146430072 is an abundant number, since it is smaller than the sum of its proper divisors (262913928).

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

146430072 is a wasteful number, since it uses less digits than its factorization.

146430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 146430072 is about 12100.8293930623. The cubic root of 146430072 is about 527.0802686708.

The spelling of 146430072 in words is "one hundred forty-six million, four hundred thirty thousand, seventy-two".