72746000 has 40 divisors (see below), whose sum is σ = 175904664. Its totient is φ = 29097600.

The previous prime is 72745973. The next prime is 72746027. The reversal of 72746000 is 64727.

It is an interprime number because it is at equal distance from previous prime (72745973) and next prime (72746027).

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 71639296 = 1052^2 + 8464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16187 + ... + 20186.

Almost surely, 2^72746000 is an apocalyptic number.

It is an amenable number.

72746000 is an abundant number, since it is smaller than the sum of its proper divisors (103158664).

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

72746000 is a wasteful number, since it uses less digits than its factorization.

72746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36396 (or 36380 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72746000 is about 8529.1265672400. The cubic root of 72746000 is about 417.4486293422.

The spelling of 72746000 in words is "seventy-two million, seven hundred forty-six thousand".