40107672 has 96 divisors (see below), whose sum is σ = 120042000. Its totient is φ = 11996160.

The previous prime is 40107659. The next prime is 40107701. The reversal of 40107672 is 27670104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70204 + ... + 70772.

Almost surely, 2^40107672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60021000).

40107672 is an abundant number, since it is smaller than the sum of its proper divisors (79934328).

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

40107672 is a wasteful number, since it uses less digits than its factorization.

40107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40107672 is about 6333.0618187414. The cubic root of 40107672 is about 342.3017752939.

Adding to 40107672 its reverse (27670104), we get a palindrome (67777776).

The spelling of 40107672 in words is "forty million, one hundred seven thousand, six hundred seventy-two".