72067380 has 192 divisors, whose sum is σ = 265144320. Its totient is φ = 14169600.

The previous prime is 72067363. The next prime is 72067409. The reversal of 72067380 is 8376027.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 87370 + ... + 88190.

It is an arithmetic number, because the mean of its divisors is an integer number (1380960).

Almost surely, 2^72067380 is an apocalyptic number.

72067380 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 72067380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132572160).

72067380 is an abundant number, since it is smaller than the sum of its proper divisors (193076940).

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

72067380 is a wasteful number, since it uses less digits than its factorization.

72067380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72067380 is about 8489.2508503401. The cubic root of 72067380 is about 416.1464982676.

The spelling of 72067380 in words is "seventy-two million, sixty-seven thousand, three hundred eighty".