10073088 has 66 divisors (see below), whose sum is σ = 29112434. Its totient is φ = 3354624.

The previous prime is 10073071. The next prime is 10073093. The reversal of 10073088 is 88037001.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 36864 = 3168^2 + 192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8670 + ... + 9762.

Almost surely, 2^10073088 is an apocalyptic number.

10073088 is a gapful number since it is divisible by the number (18) 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 10073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556217).

10073088 is an abundant number, since it is smaller than the sum of its proper divisors (19039346).

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

10073088 is a wasteful number, since it uses less digits than its factorization.

10073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10073088 is about 3173.8128489248. The cubic root of 10073088 is about 215.9670731702.

It can be divided in two parts, 1007 and 3088, that added together give a triangular number (4095 = T₉₀).

The spelling of 10073088 in words is "ten million, seventy-three thousand, eighty-eight".