72072000 has 672 divisors, whose sum is σ = 346155264. Its totient is φ = 13824000.

The previous prime is 72071983. The next prime is 72072017. The reversal of 72072000 is 27027.

It is an interprime number because it is at equal distance from previous prime (72071983) and next prime (72072017).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 5543994 + ... + 5544006.

It is an arithmetic number, because the mean of its divisors is an integer number (515112).

Almost surely, 2^72072000 is an apocalyptic number.

72072000 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 72072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

72072000 is an abundant number, since it is smaller than the sum of its proper divisors (274083264).

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

72072000 is a wasteful number, since it uses less digits than its factorization.

72072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 72072000 is about 8489.5229547955. The cubic root of 72072000 is about 416.1553906668.

Adding to 72072000 its reverse (27027), we get a palindrome (72099027).

It can be divided in two parts, 720 and 72000, that multiplied together give a square (51840000 = 7200²).

The spelling of 72072000 in words is "seventy-two million, seventy-two thousand".