354672 has 40 divisors (see below), whose sum is σ = 1019280. Its totient is φ = 118080.

The previous prime is 354667. The next prime is 354677. The reversal of 354672 is 276453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354667) and next prime (354677).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (25482).

354672 is a Friedman number, since it can be written as 54*(7+3^(6+2)), using all its digits and the basic arithmetic operations.

2³⁵⁴⁶⁷² 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 354672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509640).

354672 is an abundant number, since it is smaller than the sum of its proper divisors (664608).

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

354672 is a wasteful number, since it uses less digits than its factorization.

354672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 354672 is about 595.5434492965. The cubic root of 354672 is about 70.7851735687.

The spelling of 354672 in words is "three hundred fifty-four thousand, six hundred seventy-two".