10236072000 has 896 divisors, whose sum is σ = 43820974080. Its totient is φ = 2042880000.

The previous prime is 10236071987. The next prime is 10236072017. The reversal of 10236072000 is 27063201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53591905 + ... + 53592095.

Almost surely, 2^10236072000 is an apocalyptic number.

10236072000 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 10236072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21910487040).

10236072000 is an abundant number, since it is smaller than the sum of its proper divisors (33584902080).

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

10236072000 is a wasteful number, since it uses less digits than its factorization.

10236072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 10236072000 in words is "ten billion, two hundred thirty-six million, seventy-two thousand".