11972730 has 128 divisors (see below), whose sum is σ = 36827136. Its totient is φ = 2419200.

The previous prime is 11972729. The next prime is 11972747. The reversal of 11972730 is 3727911.

It is a super-3 number, since 3×11972730³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163974 + ... + 164046.

It is an arithmetic number, because the mean of its divisors is an integer number (287712).

Almost surely, 2^11972730 is an apocalyptic number.

11972730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11972730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413568).

11972730 is an abundant number, since it is smaller than the sum of its proper divisors (24854406).

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

11972730 is a wasteful number, since it uses less digits than its factorization.

11972730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 11972730 is about 3460.1632909445. The cubic root of 11972730 is about 228.7692927680.

The spelling of 11972730 in words is "eleven million, nine hundred seventy-two thousand, seven hundred thirty".