72061164 has 216 divisors, whose sum is σ = 235282320. Its totient is φ = 19160064.

The previous prime is 72061153. The next prime is 72061217. The reversal of 72061164 is 46116027.

It is a super-2 number, since 2×72061164² = 10385622714069792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809632 + ... + 809720.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^72061164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72061164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

72061164 is an abundant number, since it is smaller than the sum of its proper divisors (163221156).

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

72061164 is a wasteful number, since it uses less digits than its factorization.

72061164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

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

The square root of 72061164 is about 8488.8847324015. The cubic root of 72061164 is about 416.1345333490.

The spelling of 72061164 in words is "seventy-two million, sixty-one thousand, one hundred sixty-four".