72477220 has 12 divisors (see below), whose sum is σ = 152202204. Its totient is φ = 28990880.

The previous prime is 72477187. The next prime is 72477221. The reversal of 72477220 is 2277427.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 63904036 = 2928^2 + 7994^2 .

It is not an unprimeable number, because it can be changed into a prime (72477221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1811911 + ... + 1811950.

It is an arithmetic number, because the mean of its divisors is an integer number (12683517).

Almost surely, 2^72477220 is an apocalyptic number.

It is an amenable number.

72477220 is an abundant number, since it is smaller than the sum of its proper divisors (79724984).

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

72477220 is a wasteful number, since it uses less digits than its factorization.

72477220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623870 (or 3623868 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 31.

The square root of 72477220 is about 8513.3553902090. The cubic root of 72477220 is about 416.9338687884.

Adding to 72477220 its product of nonzero digits (10976), we get a square (72488196 = 8514²).

The spelling of 72477220 in words is "seventy-two million, four hundred seventy-seven thousand, two hundred twenty".