72621824 has 144 divisors (see below), whose sum is σ = 176160096. Its totient is φ = 29491200.

The previous prime is 72621821. The next prime is 72621827. The reversal of 72621824 is 42812627.

It is an interprime number because it is at equal distance from previous prime (72621821) and next prime (72621827).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72621821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771244 + ... + 1771284.

It is an arithmetic number, because the mean of its divisors is an integer number (1223334).

Almost surely, 2^72621824 is an apocalyptic number.

72621824 is a gapful number since it is divisible by the number (74) 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 72621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

72621824 is an abundant number, since it is smaller than the sum of its proper divisors (103538272).

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

72621824 is a wasteful number, since it uses less digits than its factorization.

72621824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 72621824 is about 8521.8439319199. The cubic root of 72621824 is about 417.2109685134.

The spelling of 72621824 in words is "seventy-two million, six hundred twenty-one thousand, eight hundred twenty-four".