72966420 has 120 divisors (see below), whose sum is σ = 232410024. Its totient is φ = 19160064.

The previous prime is 72966401. The next prime is 72966433. The reversal of 72966420 is 2466927.

It is a happy number.

72966420 is a `hidden beast` number, since 7 + 2 + 9 + 6 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 72795024 = 414^2 + 8532^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117952 + ... + 118568.

Almost surely, 2^72966420 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 72966420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116205012).

72966420 is an abundant number, since it is smaller than the sum of its proper divisors (159443604).

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

72966420 is a wasteful number, since it uses less digits than its factorization.

72966420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72966420 is about 8542.0383984152. The cubic root of 72966420 is about 417.8698266085.

The spelling of 72966420 in words is "seventy-two million, nine hundred sixty-six thousand, four hundred twenty".