372106006272000 has 8640 divisors, whose sum is σ = 1915738629124320. Its totient is φ = 71010680832000.

The previous prime is 372106006271953. The next prime is 372106006272001. The reversal of 372106006272000 is 272600601273.

It is a happy number.

372106006272000 is a `hidden beast` number, since 3 + 7 + 2 + 1 + 0 + 6 + 0 + 0 + 627 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372106006272001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1888862975902 + ... + 1888862976098.

Almost surely, 2^{372106006272000} is an apocalyptic number.

372106006272000 is a gapful number since it is divisible by the number (30) 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 372106006272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957869314562160).

372106006272000 is an abundant number, since it is smaller than the sum of its proper divisors (1543632622852320).

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

372106006272000 is a wasteful number, since it uses less digits than its factorization.

372106006272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 372106006272000 its reverse (272600601273), we get a palindrome (372378606873273).

The spelling of 372106006272000 in words is "three hundred seventy-two trillion, one hundred six billion, six million, two hundred seventy-two thousand".