72672980 has 24 divisors (see below), whose sum is σ = 153021960. Its totient is φ = 28991360.

The previous prime is 72672961. The next prime is 72672983. The reversal of 72672980 is 8927627.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 72216004 = 676^2 + 8498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72672983) 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 7 ways as a sum of consecutive naturals, for example, 3110 + ... + 12450.

It is an arithmetic number, because the mean of its divisors is an integer number (6375915).

Almost surely, 2^72672980 is an apocalyptic number.

It is an amenable number.

72672980 is an abundant number, since it is smaller than the sum of its proper divisors (80348980).

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

72672980 is a wasteful number, since it uses less digits than its factorization.

72672980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9739 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 72672980 is about 8524.8448666237. The cubic root of 72672980 is about 417.3089089289.

The spelling of 72672980 in words is "seventy-two million, six hundred seventy-two thousand, nine hundred eighty".