370006272 has 144 divisors (see below), whose sum is σ = 1103760000. Its totient is φ = 122259456.

The previous prime is 370006249. The next prime is 370006279. The reversal of 370006272 is 272600073.

370006272 is a `hidden beast` number, since 37 + 0 + 0 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (370006279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375354 + ... + 1375622.

It is an arithmetic number, because the mean of its divisors is an integer number (7665000).

Almost surely, 2^370006272 is an apocalyptic number.

370006272 is a gapful number since it is divisible by the number (32) 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 370006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880000).

370006272 is an abundant number, since it is smaller than the sum of its proper divisors (733753728).

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

370006272 is a wasteful number, since it uses less digits than its factorization.

370006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 370006272 is about 19235.5470938572. The cubic root of 370006272 is about 717.9094916730.

The spelling of 370006272 in words is "three hundred seventy million, six thousand, two hundred seventy-two".