72637320 has 128 divisors (see below), whose sum is σ = 254960640. Its totient is φ = 16208640.

The previous prime is 72637307. The next prime is 72637321. The reversal of 72637320 is 2373627.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72637321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35115 + ... + 37125.

It is an arithmetic number, because the mean of its divisors is an integer number (1991880).

Almost surely, 2^72637320 is an apocalyptic number.

72637320 is a gapful number since it is divisible by the number (70) 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 72637320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127480320).

72637320 is an abundant number, since it is smaller than the sum of its proper divisors (182323320).

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

72637320 is a wasteful number, since it uses less digits than its factorization.

72637320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 72637320 is about 8522.7530763246. The cubic root of 72637320 is about 417.2406411426.

The spelling of 72637320 in words is "seventy-two million, six hundred thirty-seven thousand, three hundred twenty".