72493820 has 48 divisors (see below), whose sum is σ = 174763008. Its totient is φ = 24744000.

The previous prime is 72493819. The next prime is 72493867. The reversal of 72493820 is 2839427.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34109 + ... + 36171.

It is an arithmetic number, because the mean of its divisors is an integer number (3640896).

Almost surely, 2^72493820 is an apocalyptic number.

72493820 is a gapful number since it is divisible by the number (70) 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 72493820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381504).

72493820 is an abundant number, since it is smaller than the sum of its proper divisors (102269188).

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

72493820 is a wasteful number, since it uses less digits than its factorization.

72493820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 72493820 is about 8514.3302731336. The cubic root of 72493820 is about 416.9656975198.

The spelling of 72493820 in words is "seventy-two million, four hundred ninety-three thousand, eight hundred twenty".