307972 has 24 divisors (see below), whose sum is σ = 653184. Its totient is φ = 124032.

The previous prime is 307969. The next prime is 308003. The reversal of 307972 is 279703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 307972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2³⁰⁷⁹⁷² 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 307972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

307972 is an abundant number, since it is smaller than the sum of its proper divisors (345212).

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

307972 is a wasteful number, since it uses less digits than its factorization.

307972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 307972 is about 554.9522501982. The cubic root of 307972 is about 67.5310876463.

The spelling of 307972 in words is "three hundred seven thousand, nine hundred seventy-two".