72689900976 has 240 divisors, whose sum is σ = 268547954688. Its totient is φ = 17769830400.

The previous prime is 72689900957. The next prime is 72689900977. The reversal of 72689900976 is 67900998627.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72689900977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4320 + ... + 381311.

Almost surely, 2^72689900976 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 72689900976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134273977344).

72689900976 is an abundant number, since it is smaller than the sum of its proper divisors (195858053712).

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

72689900976 is a wasteful number, since it uses less digits than its factorization.

72689900976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385680 (or 385671 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 72689900976 in words is "seventy-two billion, six hundred eighty-nine million, nine hundred thousand, nine hundred seventy-six".