10072233600 has 1152 divisors, whose sum is σ = 42391036800. Its totient is φ = 2081587200.

The previous prime is 10072233581. The next prime is 10072233607. The reversal of 10072233600 is 633227001.

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 (10072233607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 347318386 + ... + 347318414.

It is an arithmetic number, because the mean of its divisors is an integer number (36797775).

Almost surely, 2^10072233600 is an apocalyptic number.

10072233600 is a gapful number since it is divisible by the number (10) 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 10072233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195518400).

10072233600 is an abundant number, since it is smaller than the sum of its proper divisors (32318803200).

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

10072233600 is a wasteful number, since it uses less digits than its factorization.

10072233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

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

The spelling of 10072233600 in words is "ten billion, seventy-two million, two hundred thirty-three thousand, six hundred".