10506672 has 150 divisors (see below), whose sum is σ = 33924044. Its totient is φ = 3136320.

The previous prime is 10506659. The next prime is 10506673. The reversal of 10506672 is 27660501.

It is a super-2 number, since 2×10506672² = 220780313031168, which contains 22 as substring.

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 (10506673) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156783 + ... + 156849.

Almost surely, 2^10506672 is an apocalyptic number.

10506672 is a gapful number since it is divisible by the number (12) 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 10506672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962022).

10506672 is an abundant number, since it is smaller than the sum of its proper divisors (23417372).

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

10506672 is a wasteful number, since it uses less digits than its factorization.

10506672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10506672 is about 3241.3996976615. The cubic root of 10506672 is about 219.0223283671.

The spelling of 10506672 in words is "ten million, five hundred six thousand, six hundred seventy-two".