10315872 has 216 divisors, whose sum is σ = 36972936. Its totient is φ = 2709504.

The previous prime is 10315847. The next prime is 10315897. The reversal of 10315872 is 27851301.

It is an interprime number because it is at equal distance from previous prime (10315847) and next prime (10315897).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239883 + ... + 239925.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 2^10315872 is an apocalyptic number.

10315872 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 10315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486468).

10315872 is an abundant number, since it is smaller than the sum of its proper divisors (26657064).

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

10315872 is a wasteful number, since it uses less digits than its factorization.

10315872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10315872 is about 3211.8331214433. The cubic root of 10315872 is about 217.6884138263.

It can be divided in two parts, 1031 and 5872, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 10315872 in words is "ten million, three hundred fifteen thousand, eight hundred seventy-two".