10177972 has 48 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 4176000.

The previous prime is 10177969. The next prime is 10178017. The reversal of 10177972 is 27977101.

It is a super-2 number, since 2×10177972² = 207182228065568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100722 + ... + 100822.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^10177972 is an apocalyptic number.

It is an amenable number.

10177972 is an abundant number, since it is smaller than the sum of its proper divisors (11070668).

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

10177972 is a wasteful number, since it uses less digits than its factorization.

10177972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 34.

The square root of 10177972 is about 3190.2934034349. The cubic root of 10177972 is about 216.7140577466.

The spelling of 10177972 in words is "ten million, one hundred seventy-seven thousand, nine hundred seventy-two".