72416654000 has 80 divisors (see below), whose sum is σ = 181141665120. Its totient is φ = 27967788800.

The previous prime is 72416653997. The next prime is 72416654003. The reversal of 72416654000 is 45661427.

It is an interprime number because it is at equal distance from previous prime (72416653997) and next prime (72416654003).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (72416654003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566282 + ... + 682281.

It is an arithmetic number, because the mean of its divisors is an integer number (2264270814).

Almost surely, 2^72416654000 is an apocalyptic number.

It is an amenable number.

72416654000 is an abundant number, since it is smaller than the sum of its proper divisors (108725011120).

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

72416654000 is a wasteful number, since it uses less digits than its factorization.

72416654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248615 (or 1248599 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 72416654000 in words is "seventy-two billion, four hundred sixteen million, six hundred fifty-four thousand".