10758072 has 96 divisors (see below), whose sum is σ = 30728880. Its totient is φ = 3118080.

The previous prime is 10758071. The next prime is 10758073. The reversal of 10758072 is 27085701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10758071) and next prime (10758073).

It is a super-2 number, since 2×10758072² = 231472226314368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10758071) 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 23 ways as a sum of consecutive naturals, for example, 262372 + ... + 262412.

Almost surely, 2^10758072 is an apocalyptic number.

10758072 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 10758072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364440).

10758072 is an abundant number, since it is smaller than the sum of its proper divisors (19970808).

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

10758072 is a wasteful number, since it uses less digits than its factorization.

10758072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10758072 is about 3279.9499996189. The cubic root of 10758072 is about 220.7554743761.

The spelling of 10758072 in words is "ten million, seven hundred fifty-eight thousand, seventy-two".