10072062000 has 1440 divisors, whose sum is σ = 48596461056. Its totient is φ = 1886976000.

The previous prime is 10072061999. The next prime is 10072062061. The reversal of 10072062000 is 26027001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 234233979 + ... + 234234021.

Almost surely, 2^10072062000 is an apocalyptic number.

10072062000 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 10072062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298230528).

10072062000 is an abundant number, since it is smaller than the sum of its proper divisors (38524399056).

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

10072062000 is a wasteful number, since it uses less digits than its factorization.

10072062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10072062000 its reverse (26027001), we get a palindrome (10098089001).

The spelling of 10072062000 in words is "ten billion, seventy-two million, sixty-two thousand".