72691500 has 288 divisors, whose sum is σ = 262918656. Its totient is φ = 15523200.

The previous prime is 72691499. The next prime is 72691513. The reversal of 72691500 is 519627.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1690479 + ... + 1690521.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 2^72691500 is an apocalyptic number.

72691500 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 72691500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

72691500 is an abundant number, since it is smaller than the sum of its proper divisors (190227156).

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

72691500 is a wasteful number, since it uses less digits than its factorization.

72691500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 72691500 is about 8525.9310342038. The cubic root of 72691500 is about 417.3443549528.

The spelling of 72691500 in words is "seventy-two million, six hundred ninety-one thousand, five hundred".