73251072 has 54 divisors (see below), whose sum is σ = 211207542. Its totient is φ = 24416256.

The previous prime is 73251041. The next prime is 73251089. The reversal of 73251072 is 27015237.

It can be written as a sum of positive squares in only one way, i.e., 68161536 + 5089536 = 8256^2 + 2256^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 13593 + ... + 18200.

Almost surely, 2^73251072 is an apocalyptic number.

73251072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73251072 is an abundant number, since it is smaller than the sum of its proper divisors (137956470).

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

73251072 is a wasteful number, since it uses less digits than its factorization.

73251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31815 (or 31798 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 73251072 is about 8558.6840109914. The cubic root of 73251072 is about 418.4125106698.

The spelling of 73251072 in words is "seventy-three million, two hundred fifty-one thousand, seventy-two".