10712520 has 256 divisors, whose sum is σ = 44352000. Its totient is φ = 2239488.

The previous prime is 10712501. The next prime is 10712543. The reversal of 10712520 is 2521701.

10712520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10712520² = 229516169500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10712493 and 10712502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98226 + ... + 98334.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

Almost surely, 2^10712520 is an apocalyptic number.

10712520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10712520 is the 1890-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).

10712520 is an abundant number, since it is smaller than the sum of its proper divisors (33639480).

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

10712520 is a wasteful number, since it uses less digits than its factorization.

10712520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10712520 is about 3272.9986251143. The cubic root of 10712520 is about 220.4434581296.

The spelling of 10712520 in words is "ten million, seven hundred twelve thousand, five hundred twenty".