10273632 has 48 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 3388032.

The previous prime is 10273631. The next prime is 10273633. The reversal of 10273632 is 23637201.

It is an interprime number because it is at equal distance from previous prime (10273631) and next prime (10273633).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9369 + ... + 10407.

It is an arithmetic number, because the mean of its divisors is an integer number (567840).

Almost surely, 2^10273632 is an apocalyptic number.

10273632 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 10273632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

10273632 is an abundant number, since it is smaller than the sum of its proper divisors (16982688).

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

10273632 is a wasteful number, since it uses less digits than its factorization.

10273632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 10273632 is about 3205.2506922236. The cubic root of 10273632 is about 217.3908872711.

The spelling of 10273632 in words is "ten million, two hundred seventy-three thousand, six hundred thirty-two".