72607104 has 160 divisors (see below), whose sum is σ = 222156000. Its totient is φ = 23528448.

The previous prime is 72607103. The next prime is 72607109. The reversal of 72607104 is 40170627.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72607103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 487222 + ... + 487370.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475).

Almost surely, 2^72607104 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 72607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111078000).

72607104 is an abundant number, since it is smaller than the sum of its proper divisors (149548896).

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

72607104 is a wasteful number, since it uses less digits than its factorization.

72607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72607104 is about 8520.9802253027. The cubic root of 72607104 is about 417.1827779039.

The spelling of 72607104 in words is "seventy-two million, six hundred seven thousand, one hundred four".