72466410 has 64 divisors (see below), whose sum is σ = 185566464. Its totient is φ = 18048000.

The previous prime is 72466403. The next prime is 72466451. The reversal of 72466410 is 1466427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76540 + ... + 77480.

It is an arithmetic number, because the mean of its divisors is an integer number (2899476).

Almost surely, 2^72466410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72466410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92783232).

72466410 is an abundant number, since it is smaller than the sum of its proper divisors (113100054).

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

72466410 is a wasteful number, since it uses less digits than its factorization.

72466410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72466410 is about 8512.7204817262. The cubic root of 72466410 is about 416.9131391522.

The spelling of 72466410 in words is "seventy-two million, four hundred sixty-six thousand, four hundred ten".