72197030231040 has 1408 divisors, whose sum is σ = 276511532129280. Its totient is φ = 15846447513600.

The previous prime is 72197030230999. The next prime is 72197030231069. The reversal of 72197030231040 is 4013203079127.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×72197030231040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72197030231040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76237623847 + ... + 76237624793.

Almost surely, 2^{72197030231040} 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 72197030231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138255766064640).

72197030231040 is an abundant number, since it is smaller than the sum of its proper divisors (204314501898240).

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

72197030231040 is a wasteful number, since it uses less digits than its factorization.

72197030231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 72197030231040 in words is "seventy-two trillion, one hundred ninety-seven billion, thirty million, two hundred thirty-one thousand, forty".