72004464 has 100 divisors (see below), whose sum is σ = 238203504. Its totient is φ = 20570112.

The previous prime is 72004459. The next prime is 72004481. The reversal of 72004464 is 46440027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5104 + ... + 13040.

Almost surely, 2^72004464 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 72004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119101752).

72004464 is an abundant number, since it is smaller than the sum of its proper divisors (166199040).

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

72004464 is a wasteful number, since it uses less digits than its factorization.

72004464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7964 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 72004464 is about 8485.5444138841. The cubic root of 72004464 is about 416.0253621125.

It can be divided in two parts, 7200 and 4464, that added together give a square (11664 = 108²).

The spelling of 72004464 in words is "seventy-two million, four thousand, four hundred sixty-four".