73702272 has 96 divisors (see below), whose sum is σ = 227792520. Its totient is φ = 21052416.

The previous prime is 73702271. The next prime is 73702289. The reversal of 73702272 is 27220737.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73702271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16858 + ... + 20774.

Almost surely, 2^73702272 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 73702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113896260).

73702272 is an abundant number, since it is smaller than the sum of its proper divisors (154090248).

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

73702272 is a wasteful number, since it uses less digits than its factorization.

73702272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 30.

The square root of 73702272 is about 8585.0027373321. The cubic root of 73702272 is about 419.2698424896.

The spelling of 73702272 in words is "seventy-three million, seven hundred two thousand, two hundred seventy-two".