72479004 has 96 divisors (see below), whose sum is σ = 193945920. Its totient is φ = 20901888.

The previous prime is 72478997. The next prime is 72479009. The reversal of 72479004 is 40097427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72479009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167172 + ... + 167604.

It is an arithmetic number, because the mean of its divisors is an integer number (2020270).

Almost surely, 2^72479004 is an apocalyptic number.

72479004 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72479004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96972960).

72479004 is an abundant number, since it is smaller than the sum of its proper divisors (121466916).

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

72479004 is a wasteful number, since it uses less digits than its factorization.

72479004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72479004 is about 8513.4601661134. The cubic root of 72479004 is about 416.9372896514.

The spelling of 72479004 in words is "seventy-two million, four hundred seventy-nine thousand, four".