407072 has 12 divisors (see below), whose sum is σ = 801486. Its totient is φ = 203520.

The previous prime is 407059. The next prime is 407083. The reversal of 407072 is 270704.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 132496 = 524^2 + 364^2 .

It is a super-2 number, since 2×407072² = 331415226368, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 6329 + ... + 6392.

2⁴⁰⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

407072 is a deficient number, since it is larger than the sum of its proper divisors (394414).

407072 is a wasteful number, since it uses less digits than its factorization.

407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 407072 is about 638.0219431963. The cubic root of 407072 is about 74.1123202985.

Adding to 407072 its reverse (270704), we get a palindrome (677776).

The spelling of 407072 in words is "four hundred seven thousand, seventy-two", and thus it is an iban number.