72170510102400 has 192 divisors, whose sum is σ = 237726951041520. Its totient is φ = 19244227952640.

The previous prime is 72170510102387. The next prime is 72170510102423. The reversal of 72170510102400 is 420101507127.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153682354 + ... + 154151246.

Almost surely, 2^{72170510102400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72170510102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118863475520760).

72170510102400 is an abundant number, since it is smaller than the sum of its proper divisors (165556440939120).

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

72170510102400 is a wasteful number, since it uses less digits than its factorization.

72170510102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484953 (or 484936 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

Adding to 72170510102400 its reverse (420101507127), we get a palindrome (72590611609527).

The spelling of 72170510102400 in words is "seventy-two trillion, one hundred seventy billion, five hundred ten million, one hundred two thousand, four hundred".