807372 has 36 divisors (see below), whose sum is σ = 2094456. Its totient is φ = 262080.

The previous prime is 807371. The next prime is 807379. The reversal of 807372 is 273708.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (807371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203 + ... + 1749.

2⁸⁰⁷³⁷² is an apocalyptic number.

807372 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047228).

807372 is an abundant number, since it is smaller than the sum of its proper divisors (1287084).

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

807372 is a wasteful number, since it uses less digits than its factorization.

807372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 807372 is about 898.5388138528. The cubic root of 807372 is about 93.1160535225.

The spelling of 807372 in words is "eight hundred seven thousand, three hundred seventy-two".