307395072 has 120 divisors (see below), whose sum is σ = 934121760. Its totient is φ = 97044480.

The previous prime is 307395059. The next prime is 307395097. The reversal of 307395072 is 270593703.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85797 + ... + 89307.

It is an arithmetic number, because the mean of its divisors is an integer number (7784348).

Almost surely, 2^307395072 is an apocalyptic number.

307395072 is a gapful number since it is divisible by the number (32) 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 307395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467060880).

307395072 is an abundant number, since it is smaller than the sum of its proper divisors (626726688).

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

307395072 is a wasteful number, since it uses less digits than its factorization.

307395072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 307395072 is about 17532.6858182082. The cubic root of 307395072 is about 674.8889232862. Note that the first 3 decimals are identical.

The spelling of 307395072 in words is "three hundred seven million, three hundred ninety-five thousand, seventy-two".