72351456 has 96 divisors (see below), whose sum is σ = 205970688. Its totient is φ = 22149120.

The previous prime is 72351437. The next prime is 72351467. The reversal of 72351456 is 65415327.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 69661 + ... + 70691.

It is an arithmetic number, because the mean of its divisors is an integer number (2145528).

Almost surely, 2^72351456 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 72351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102985344).

72351456 is an abundant number, since it is smaller than the sum of its proper divisors (133619232).

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

72351456 is a wasteful number, since it uses less digits than its factorization.

72351456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 72351456 is about 8505.9659063507. The cubic root of 72351456 is about 416.6925716872.

The spelling of 72351456 in words is "seventy-two million, three hundred fifty-one thousand, four hundred fifty-six".