10172619072 has 504 divisors, whose sum is σ = 37943942400. Its totient is φ = 2547578880.

The previous prime is 10172619071. The next prime is 10172619151. The reversal of 10172619072 is 27091627101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 (10172619071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14147929 + ... + 14148647.

It is an arithmetic number, because the mean of its divisors is an integer number (75285600).

Almost surely, 2^10172619072 is an apocalyptic number.

10172619072 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 10172619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971971200).

10172619072 is an abundant number, since it is smaller than the sum of its proper divisors (27771323328).

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

10172619072 is a wasteful number, since it uses less digits than its factorization.

10172619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10172619072 in words is "ten billion, one hundred seventy-two million, six hundred nineteen thousand, seventy-two".