72821376 has 128 divisors (see below), whose sum is σ = 226440000. Its totient is φ = 22975488.

The previous prime is 72821339. The next prime is 72821393. The reversal of 72821376 is 67312827.

72821376 is a `hidden beast` number, since 7 + 282 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72821376.

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, 65110 + ... + 66218.

Almost surely, 2^72821376 is an apocalyptic number.

72821376 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113220000).

72821376 is an abundant number, since it is smaller than the sum of its proper divisors (153618624).

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

72821376 is a wasteful number, since it uses less digits than its factorization.

72821376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72821376 is about 8533.5441640622. The cubic root of 72821376 is about 417.5927598163.

The spelling of 72821376 in words is "seventy-two million, eight hundred twenty-one thousand, three hundred seventy-six".