72963420 has 96 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 17789184.

The previous prime is 72963419. The next prime is 72963421. The reversal of 72963420 is 2436927.

It is an interprime number because it is at equal distance from previous prime (72963419) and next prime (72963421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72963421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31957 + ... + 34163.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 2^72963420 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 72963420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

72963420 is an abundant number, since it is smaller than the sum of its proper divisors (149602980).

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

72963420 is a wasteful number, since it uses less digits than its factorization.

72963420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72963420 is about 8541.8627944963. The cubic root of 72963420 is about 417.8640996515.

The spelling of 72963420 in words is "seventy-two million, nine hundred sixty-three thousand, four hundred twenty".