72305376 has 192 divisors, whose sum is σ = 233694720. Its totient is φ = 19261440.

The previous prime is 72305351. The next prime is 72305383. The reversal of 72305376 is 67350327.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315630 + ... + 315858.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^72305376 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 72305376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

72305376 is an abundant number, since it is smaller than the sum of its proper divisors (161389344).

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

72305376 is a wasteful number, since it uses less digits than its factorization.

72305376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 72305376 is about 8503.2567878431. The cubic root of 72305376 is about 416.6040903003.

The spelling of 72305376 in words is "seventy-two million, three hundred five thousand, three hundred seventy-six".