10345750272 has 432 divisors, whose sum is σ = 36373454208. Its totient is φ = 2891427840.

The previous prime is 10345750213. The next prime is 10345750273. The reversal of 10345750272 is 27205754301.

10345750272 is a `hidden beast` number, since 1 + 0 + 34 + 57 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345750273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895163 + ... + 8896325.

Almost surely, 2^10345750272 is an apocalyptic number.

10345750272 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 10345750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186727104).

10345750272 is an abundant number, since it is smaller than the sum of its proper divisors (26027703936).

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

10345750272 is a wasteful number, since it uses less digits than its factorization.

10345750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 10345750272 in words is "ten billion, three hundred forty-five million, seven hundred fifty thousand, two hundred seventy-two".