146720772 has 144 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 41817600.

The previous prime is 146720771. The next prime is 146720797. The reversal of 146720772 is 277027641.

It is a happy number.

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 (146720771) 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, 810522 + ... + 810702.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^146720772 is an apocalyptic number.

146720772 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 146720772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

146720772 is an abundant number, since it is smaller than the sum of its proper divisors (282566268).

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

146720772 is a wasteful number, since it uses less digits than its factorization.

146720772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 146720772 is about 12112.8350108470. The cubic root of 146720772 is about 527.4288331175.

The spelling of 146720772 in words is "one hundred forty-six million, seven hundred twenty thousand, seven hundred seventy-two".