117072400 has 45 divisors (see below), whose sum is σ = 281787303. Its totient is φ = 46742400.

The previous prime is 117072377. The next prime is 117072409. The reversal of 117072400 is 4270711.

The square root of 117072400 is 10820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 110166016 = 2628^2 + 10496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117072409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216130 + ... + 216670.

Almost surely, 2^117072400 is an apocalyptic number.

117072400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117072400 is the 10820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117072400

117072400 is an abundant number, since it is smaller than the sum of its proper divisors (164714903).

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

117072400 is an frugal number, since it uses more digits than its factorization.

117072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The cubic root of 117072400 is about 489.1981888809.

The spelling of 117072400 in words is "one hundred seventeen million, seventy-two thousand, four hundred".