72466400 has 36 divisors (see below), whose sum is σ = 176910552. Its totient is φ = 28986240.

The previous prime is 72466397. The next prime is 72466403. The reversal of 72466400 is 466427.

It is an interprime number because it is at equal distance from previous prime (72466397) and next prime (72466403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72466403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44492 + ... + 46091.

It is an arithmetic number, because the mean of its divisors is an integer number (4914182).

Almost surely, 2^72466400 is an apocalyptic number.

It is an amenable number.

72466400 is an abundant number, since it is smaller than the sum of its proper divisors (104444152).

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

72466400 is a wasteful number, since it uses less digits than its factorization.

72466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90603 (or 90590 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 72466400 is about 8512.7198943698. The cubic root of 72466400 is about 416.9131199749.

The spelling of 72466400 in words is "seventy-two million, four hundred sixty-six thousand, four hundred".