72949360 has 80 divisors (see below), whose sum is σ = 194808960. Its totient is φ = 25125120.

The previous prime is 72949337. The next prime is 72949367. The reversal of 72949360 is 6394927.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949367) 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, 14539 + ... + 18901.

It is an arithmetic number, because the mean of its divisors is an integer number (2435112).

Almost surely, 2^72949360 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 72949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97404480).

72949360 is an abundant number, since it is smaller than the sum of its proper divisors (121859600).

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

72949360 is a wasteful number, since it uses less digits than its factorization.

72949360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 72949360 is about 8541.0397493514. The cubic root of 72949360 is about 417.8372572206.

The spelling of 72949360 in words is "seventy-two million, nine hundred forty-nine thousand, three hundred sixty".