72204704 has 96 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 29260800.

The previous prime is 72204689. The next prime is 72204719. The reversal of 72204704 is 40740227.

It is an interprime number because it is at equal distance from previous prime (72204689) and next prime (72204719).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141602 + ... + 142110.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^72204704 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 72204704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

72204704 is an abundant number, since it is smaller than the sum of its proper divisors (100526176).

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

72204704 is a wasteful number, since it uses less digits than its factorization.

72204704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 72204704 is about 8497.3351116688. The cubic root of 72204704 is about 416.4106521858.

The spelling of 72204704 in words is "seventy-two million, two hundred four thousand, seven hundred four".