101670072 has 64 divisors (see below), whose sum is σ = 291256320. Its totient is φ = 28971648.

The previous prime is 101670061. The next prime is 101670073. The reversal of 101670072 is 270076101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101670073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101478 + ... + 102474.

It is an arithmetic number, because the mean of its divisors is an integer number (4550880).

Almost surely, 2^101670072 is an apocalyptic number.

101670072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101670072 is an abundant number, since it is smaller than the sum of its proper divisors (189586248).

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

101670072 is a wasteful number, since it uses less digits than its factorization.

101670072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 101670072 is about 10083.1578386932. The cubic root of 101670072 is about 466.7285600448.

The spelling of 101670072 in words is "one hundred one million, six hundred seventy thousand, seventy-two".