72451104 has 192 divisors, whose sum is σ = 229340160. Its totient is φ = 19768320.

The previous prime is 72451097. The next prime is 72451129. The reversal of 72451104 is 40115427.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461394 + ... + 461550.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 2^72451104 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 72451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

72451104 is an abundant number, since it is smaller than the sum of its proper divisors (156889056).

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

72451104 is a wasteful number, since it uses less digits than its factorization.

72451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 72451104 is about 8511.8214266983. The cubic root of 72451104 is about 416.8837843020.

The spelling of 72451104 in words is "seventy-two million, four hundred fifty-one thousand, one hundred four".