73020672 has 108 divisors (see below), whose sum is σ = 215950644. Its totient is φ = 23715840.

The previous prime is 73020641. The next prime is 73020683. The reversal of 73020672 is 27602037.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 68956416 = 2016^2 + 8304^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94078 + ... + 94850.

It is an arithmetic number, because the mean of its divisors is an integer number (1999543).

Almost surely, 2^73020672 is an apocalyptic number.

73020672 is a gapful number since it is divisible by the number (72) 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 73020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107975322).

73020672 is an abundant number, since it is smaller than the sum of its proper divisors (142929972).

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

73020672 is a wasteful number, since it uses less digits than its factorization.

73020672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73020672 is about 8545.2133969843. The cubic root of 73020672 is about 417.9733658235.

The spelling of 73020672 in words is "seventy-three million, twenty thousand, six hundred seventy-two".