10472000 has 224 divisors, whose sum is σ = 34235136. Its totient is φ = 3072000.

The previous prime is 10471997. The next prime is 10472047. The reversal of 10472000 is 27401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 615992 + ... + 616008.

Almost surely, 2^10472000 is an apocalyptic number.

10472000 is a gapful number since it is divisible by the number (10) 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 10472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117568).

10472000 is an abundant number, since it is smaller than the sum of its proper divisors (23763136).

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

10472000 is a wasteful number, since it uses less digits than its factorization.

10472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10472000 is about 3236.0469712289. The cubic root of 10472000 is about 218.7811384245.

Adding to 10472000 its reverse (27401), we get a palindrome (10499401).

The spelling of 10472000 in words is "ten million, four hundred seventy-two thousand".