727376 has 30 divisors (see below), whose sum is σ = 1531710. Its totient is φ = 334464.

The previous prime is 727369. The next prime is 727399. The reversal of 727376 is 673727.

727376 = T₃₂₈ + T₃₂₉ + ... + T₃₄₀.

It can be written as a sum of positive squares in 3 ways, for example, as 48400 + 678976 = 220^2 + 824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2570 + ... + 2838.

It is an arithmetic number, because the mean of its divisors is an integer number (51057).

2⁷²⁷³⁷⁶ 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 727376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765855).

727376 is an abundant number, since it is smaller than the sum of its proper divisors (804334).

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

727376 is a wasteful number, since it uses less digits than its factorization.

727376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 284 counting only the distinct ones).

The product of its digits is 12348, while the sum is 32.

The square root of 727376 is about 852.8634122765. The cubic root of 727376 is about 89.9331190359.

The spelling of 727376 in words is "seven hundred twenty-seven thousand, three hundred seventy-six".