407372 has 12 divisors (see below), whose sum is σ = 814800. Its totient is φ = 174576.

The previous prime is 407369. The next prime is 407377. The reversal of 407372 is 273704.

407372 is an admirable number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (407377) 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, 7247 + ... + 7302.

It is an arithmetic number, because the mean of its divisors is an integer number (67900).

2⁴⁰⁷³⁷² is an apocalyptic number.

It is an amenable number.

407372 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

407372 is a wasteful number, since it uses less digits than its factorization.

407372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14560 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 407372 is about 638.2570015284. The cubic root of 407372 is about 74.1305220224.

The spelling of 407372 in words is "four hundred seven thousand, three hundred seventy-two", and thus it is an iban number.