72698472 has 320 divisors, whose sum is σ = 267632640. Its totient is φ = 17884800.

The previous prime is 72698467. The next prime is 72698473. The reversal of 72698472 is 27489627.

It is a super-2 number, since 2×72698472² = 10570135662269568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72698473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1546753 + ... + 1546799.

It is an arithmetic number, because the mean of its divisors is an integer number (836352).

Almost surely, 2^72698472 is an apocalyptic number.

72698472 is a gapful number since it is divisible by the number (72) 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 72698472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133816320).

72698472 is an abundant number, since it is smaller than the sum of its proper divisors (194934168).

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

72698472 is a wasteful number, since it uses less digits than its factorization.

72698472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72698472 is about 8526.3398947028. The cubic root of 72698472 is about 417.3576973281.

The spelling of 72698472 in words is "seventy-two million, six hundred ninety-eight thousand, four hundred seventy-two".