72463776 has 96 divisors (see below), whose sum is σ = 237178368. Its totient is φ = 18819840.

The previous prime is 72463759. The next prime is 72463789. The reversal of 72463776 is 67736427.

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 (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2491 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (2470608).

Almost surely, 2^72463776 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 72463776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118589184).

72463776 is an abundant number, since it is smaller than the sum of its proper divisors (164714592).

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

72463776 is a wasteful number, since it uses less digits than its factorization.

72463776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834 (or 9826 counting only the distinct ones).

The product of its digits is 296352, while the sum is 42.

The square root of 72463776 is about 8512.5657706710. The cubic root of 72463776 is about 416.9080877888.

The spelling of 72463776 in words is "seventy-two million, four hundred sixty-three thousand, seven hundred seventy-six".