723164400 has 180 divisors, whose sum is σ = 2868192912. Its totient is φ = 165288960.

The previous prime is 723164359. The next prime is 723164401. The reversal of 723164400 is 4461327.

723164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723164401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10852 + ... + 39548.

Almost surely, 2^723164400 is an apocalyptic number.

723164400 is a gapful number since it is divisible by the number (70) 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 723164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434096456).

723164400 is an abundant number, since it is smaller than the sum of its proper divisors (2145028512).

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

723164400 is a wasteful number, since it uses less digits than its factorization.

723164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 28714 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 723164400 is about 26891.7161966283. The cubic root of 723164400 is about 897.5920819647.

It can be divided in two parts, 7231 and 64400, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 723164400 in words is "seven hundred twenty-three million, one hundred sixty-four thousand, four hundred".