72366464 has 64 divisors (see below), whose sum is σ = 153930240. Its totient is φ = 33808896.

The previous prime is 72366457. The next prime is 72366473. The reversal of 72366464 is 46466327.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×72366464² = 10473810223726592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138107 + ... + 138629.

It is an arithmetic number, because the mean of its divisors is an integer number (2405160).

Almost surely, 2^72366464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76965120).

72366464 is an abundant number, since it is smaller than the sum of its proper divisors (81563776).

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

72366464 is a wasteful number, since it uses less digits than its factorization.

72366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 72366464 is about 8506.8480649416. The cubic root of 72366464 is about 416.7213814726.

The spelling of 72366464 in words is "seventy-two million, three hundred sixty-six thousand, four hundred sixty-four".