72187500 has 192 divisors, whose sum is σ = 262499328. Its totient is φ = 15000000.

The previous prime is 72187487. The next prime is 72187541. The reversal of 72187500 is 578127.

It is a happy number.

It is a super-2 number, since 2×72187500² = 10422070312500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6562495 + ... + 6562505.

It is an arithmetic number, because the mean of its divisors is an integer number (1367184).

Almost surely, 2^72187500 is an apocalyptic number.

72187500 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 72187500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131249664).

72187500 is an abundant number, since it is smaller than the sum of its proper divisors (190311828).

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

72187500 is an equidigital number, since it uses as much as digits as its factorization.

72187500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 72187500 is about 8496.3227339832. The cubic root of 72187500 is about 416.3775772497.

The spelling of 72187500 in words is "seventy-two million, one hundred eighty-seven thousand, five hundred".