10072038900 has 288 divisors, whose sum is σ = 37109624832. Its totient is φ = 2048140800.

The previous prime is 10072038811. The next prime is 10072038931. The reversal of 10072038900 is 983027001.

It is a happy number.

It is a super-2 number, since 2×10072038900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1081062 + ... + 1090338.

It is an arithmetic number, because the mean of its divisors is an integer number (128852864).

Almost surely, 2^10072038900 is an apocalyptic number.

10072038900 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 10072038900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554812416).

10072038900 is an abundant number, since it is smaller than the sum of its proper divisors (27037585932).

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

10072038900 is a wasteful number, since it uses less digits than its factorization.

10072038900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10072038900 in words is "ten billion, seventy-two million, thirty-eight thousand, nine hundred".