10137072 has 80 divisors (see below), whose sum is σ = 29069568. Its totient is φ = 3018240.

The previous prime is 10137053. The next prime is 10137079. The reversal of 10137072 is 27073101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137079) 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 15 ways as a sum of consecutive naturals, for example, 38413 + ... + 38675.

Almost surely, 2^10137072 is an apocalyptic number.

10137072 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 10137072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534784).

10137072 is an abundant number, since it is smaller than the sum of its proper divisors (18932496).

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

10137072 is a wasteful number, since it uses less digits than its factorization.

10137072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10137072 is about 3183.8768820418. The cubic root of 10137072 is about 216.4233808388.

It can be divided in two parts, 101 and 37072, that added together give a palindrome (37173).

The spelling of 10137072 in words is "ten million, one hundred thirty-seven thousand, seventy-two".