398072 has 16 divisors (see below), whose sum is σ = 790560. Its totient is φ = 187264.

The previous prime is 398063. The next prime is 398077. The reversal of 398072 is 270893.

It is a super-2 number, since 2×398072² = 316922634368, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398072.

It is not an unprimeable number, because it can be changed into a prime (398077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (49410).

2³⁹⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

398072 is a deficient number, since it is larger than the sum of its proper divisors (392488).

398072 is a wasteful number, since it uses less digits than its factorization.

398072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 398072 is about 630.9294730792. The cubic root of 398072 is about 73.5620590522.

The spelling of 398072 in words is "three hundred ninety-eight thousand, seventy-two".