72261697004 has 48 divisors (see below), whose sum is σ = 149636745216. Its totient is φ = 29879625600.

The previous prime is 72261696979. The next prime is 72261697049. The reversal of 72261697004 is 40079616227.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161552 + ... + 413064.

It is an arithmetic number, because the mean of its divisors is an integer number (3117432192).

Almost surely, 2^72261697004 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 72261697004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74818372608).

72261697004 is an abundant number, since it is smaller than the sum of its proper divisors (77375048212).

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

72261697004 is a wasteful number, since it uses less digits than its factorization.

72261697004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251886 (or 251884 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 72261697004 in words is "seventy-two billion, two hundred sixty-one million, six hundred ninety-seven thousand, four".