72101004 has 24 divisors (see below), whose sum is σ = 168390768. Its totient is φ = 24011520.

The previous prime is 72100979. The next prime is 72101011. The reversal of 72101004 is 40010127.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15744 + ... + 19800.

It is an arithmetic number, because the mean of its divisors is an integer number (7016282).

Almost surely, 2^72101004 is an apocalyptic number.

It is an amenable number.

72101004 is an abundant number, since it is smaller than the sum of its proper divisors (96289764).

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

72101004 is a wasteful number, since it uses less digits than its factorization.

72101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 72101004 is about 8491.2310061616. The cubic root of 72101004 is about 416.2112077765.

The spelling of 72101004 in words is "seventy-two million, one hundred one thousand, four".