72479700 has 108 divisors (see below), whose sum is σ = 235102140. Its totient is φ = 18654720.

The previous prime is 72479689. The next prime is 72479717. The reversal of 72479700 is 797427.

It can be written as a sum of positive squares in 6 ways, for example, as 7160976 + 65318724 = 2676^2 + 8082^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24712 + ... + 27488.

Almost surely, 2^72479700 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 72479700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117551070).

72479700 is an abundant number, since it is smaller than the sum of its proper divisors (162622440).

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

72479700 is a wasteful number, since it uses less digits than its factorization.

72479700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72479700 is about 8513.5010424619. The cubic root of 72479700 is about 416.9386242330.

The spelling of 72479700 in words is "seventy-two million, four hundred seventy-nine thousand, seven hundred".