72613800 has 384 divisors, whose sum is σ = 305337600. Its totient is φ = 15482880.

The previous prime is 72613781. The next prime is 72613813. The reversal of 72613800 is 831627.

It is a super-3 number, since 3×72613800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642544 + ... + 642656.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 2^72613800 is an apocalyptic number.

72613800 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 72613800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

72613800 is an abundant number, since it is smaller than the sum of its proper divisors (232723800).

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

72613800 is a wasteful number, since it uses less digits than its factorization.

72613800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72613800 is about 8521.3731287862. The cubic root of 72613800 is about 417.1956020393.

The spelling of 72613800 in words is "seventy-two million, six hundred thirteen thousand, eight hundred".