72017536290 has 192 divisors, whose sum is σ = 208359357696. Its totient is φ = 15603388416.

The previous prime is 72017536249. The next prime is 72017536319. The reversal of 72017536290 is 9263571027.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12550302 + ... + 12556038.

It is an arithmetic number, because the mean of its divisors is an integer number (1085204988).

Almost surely, 2^72017536290 is an apocalyptic number.

72017536290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72017536290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104179678848).

72017536290 is an abundant number, since it is smaller than the sum of its proper divisors (136341821406).

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

72017536290 is a wasteful number, since it uses less digits than its factorization.

72017536290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 72017536290 in words is "seventy-two billion, seventeen million, five hundred thirty-six thousand, two hundred ninety".