10073952 has 144 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 2716416.

The previous prime is 10073923. The next prime is 10073957. The reversal of 10073952 is 25937001.

10073952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38173 + ... + 38435.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 2^10073952 is an apocalyptic number.

10073952 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 10073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

10073952 is an abundant number, since it is smaller than the sum of its proper divisors (24520608).

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

10073952 is a wasteful number, since it uses less digits than its factorization.

10073952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10073952 is about 3173.9489598921. The cubic root of 10073952 is about 215.9732477156.

It can be divided in two parts, 10073 and 952, that added together give a square (11025 = 105²).

The spelling of 10073952 in words is "ten million, seventy-three thousand, nine hundred fifty-two".