10179972 has 144 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 2851200.

The previous prime is 10179959. The next prime is 10179973. The reversal of 10179972 is 27997101.

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 (10179973) 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 47 ways as a sum of consecutive naturals, for example, 248272 + ... + 248312.

Almost surely, 2^10179972 is an apocalyptic number.

10179972 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 10179972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).

10179972 is an abundant number, since it is smaller than the sum of its proper divisors (21101628).

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

10179972 is a wasteful number, since it uses less digits than its factorization.

10179972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 10179972 is about 3190.6068388318. The cubic root of 10179972 is about 216.7282517900.

The spelling of 10179972 in words is "ten million, one hundred seventy-nine thousand, nine hundred seventy-two".