10377072 has 120 divisors (see below), whose sum is σ = 32091696. Its totient is φ = 3234816.

The previous prime is 10377067. The next prime is 10377079. The reversal of 10377072 is 27077301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10377079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66018 + ... + 66174.

Almost surely, 2^10377072 is an apocalyptic number.

10377072 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 10377072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045848).

10377072 is an abundant number, since it is smaller than the sum of its proper divisors (21714624).

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

10377072 is a wasteful number, since it uses less digits than its factorization.

10377072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 10377072 is about 3221.3463024021. The cubic root of 10377072 is about 218.1180518198.

The spelling of 10377072 in words is "ten million, three hundred seventy-seven thousand, seventy-two".