230577072 has 80 divisors (see below), whose sum is σ = 660552960. Its totient is φ = 68716800.

The previous prime is 230577043. The next prime is 230577077. The reversal of 230577072 is 270775032.

It is a super-2 number, since 2×230577072² = 106331572264186368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (230577077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28629 + ... + 35787.

It is an arithmetic number, because the mean of its divisors is an integer number (8256912).

Almost surely, 2^230577072 is an apocalyptic number.

230577072 is a gapful number since it is divisible by the number (22) 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 230577072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330276480).

230577072 is an abundant number, since it is smaller than the sum of its proper divisors (429975888).

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

230577072 is a wasteful number, since it uses less digits than its factorization.

230577072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 230577072 is about 15184.7644696913. The cubic root of 230577072 is about 613.2045565595.

The spelling of 230577072 in words is "two hundred thirty million, five hundred seventy-seven thousand, seventy-two".