306732972 has 288 divisors, whose sum is σ = 991678464. Its totient is φ = 71884800.

The previous prime is 306732961. The next prime is 306732977. The reversal of 306732972 is 279237603.

It is a super-2 number, since 2×306732972² = 188170232223905568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 306732972.

It is not an unprimeable number, because it can be changed into a prime (306732977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7481272 + ... + 7481312.

It is an arithmetic number, because the mean of its divisors is an integer number (3443328).

Almost surely, 2^306732972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306732972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495839232).

306732972 is an abundant number, since it is smaller than the sum of its proper divisors (684945492).

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

306732972 is a wasteful number, since it uses less digits than its factorization.

306732972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 306732972 is about 17513.7937637737. The cubic root of 306732972 is about 674.4040259438.

The spelling of 306732972 in words is "three hundred six million, seven hundred thirty-two thousand, nine hundred seventy-two".